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mathematics
precalculus

Questions and Answers of Precalculus

Expressions that occur in calculus are given. Factor completely each expression. (4x – 3)2 + x •2(4x – 3) •4
Expressions that occur in calculus are given. Factor completely each expression. 4(x + 5)3(x – 1)2 + (x + 5)4 • 2(x – 1)
Expressions that occur in calculus are given. Factor completely each expression. 2(x + 3)(x – 2)3 + (x + 3)2 •3(x – 2)2
Expressions that occur in calculus are given. Factor completely each expression. 3x2 (8x – 3) + x3 • 8
Expressions that occur in calculus are given. Factor completely each expression. 2x(2x + 5) + x2 • 2
Expressions that occur in calculus are given. Factor completely each expression. 5(2x + 1)2 + (5x – 6) • 2(2x + 1) • 2
Expressions that occur in calculus are given. Factor completely each expression.2(3x + 4)2 + (2x + 3) • 2(3 x + 4) • 3
Determine the number that should be added to complete the square of each expression. Then factor each expression. x² + 3
Determine the number that should be added to complete the square of each expression. Then factor each expression. 2°
Determine the number that should be added to complete the square of each expression. Then factor each expression.x2 – 4x
Determine the number that should be added to complete the square of each expression. Then factor each expression. y2 – 6y
Determine the number that should be added to complete the square of each expression. Then factor each expression. p2 + 14p
Determine the number that should be added to complete the square of each expression. Then factor each expression. x2 + 10
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 2 – 8x2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x4 + x3 + x + 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x4 –x3 + x – 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x3 – 3x2 – x + 3
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x3 + 2x2 – x – 2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 7(x2 – 6x + 9) + 5(x – 3)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 3(x2 + 10x + 25) – 4(x + 5)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. (5x + 1)3 – 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime.(13x - 2)3 - 27
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. (x – 1)2 -2(x - 1)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. (x + 2)2 -5(x + 2)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 5(3x – 7) + x(3x – 7)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x(x + 3) – 6(x + 3)
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 4 – 14x2 – 8x4
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 1 – 8x2 – 9x4
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 9y2 + 9y – 4
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 4y2 – 16y + 15
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 5 + 11x – 16x2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 5 + 16x – 16x2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 9y2 – 24x + 16
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 16x2 -24y + 9
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x8 – x5
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x7 – x5
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x6 + 2x3 + 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x6 – 2x3 + 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x4 – 1
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x4 – 81
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 8x2 + 6x – 2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 6x2 + 8x + 2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 9x2 – 12x + 4
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 4x2 + 12x + 9
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 3y3 – 18y2 – 48y
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. y4 + 11y3 + 30y2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x3 + 8x2 – 20x
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 3x2 – 12x – 36
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 14 + 6x – x2a
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 15 + 2x –x2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 + 12x + 36
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 + 4x + 16
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 3x2 – 12x + 15
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 4x2 – 8x + 32
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 – 6x + 8
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 – 10x + 21
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 + 5x + 4
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 + 11x + 10
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. 3 – 27x2
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 – 9
Factor completely each polynomial. If the polynomial cannot be factored, say it is prime. x2 – 36
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend x5 – a5 divided by x – a
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend x3 – a3 divided by x – a
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 1 – x2 + x4 divided by x2 – x + 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 1 – x2 + x4 divided by x2 + x + 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend -3x4 – 2x – 1 divided by x – 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend -4x3 + x2 – 4 divided by x2 + x + 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 3x4 – x3 + x – 2 divided by 3x2 + x + 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 2x4 – 3x3 + x+ 1 divided by 2x3 + x + 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 3x5 –x2 + x - 2 divided by 3x3 – 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 4x5 – 3x2 + x + 1 divided by 2x3 – 1
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 5x4 – x2 + x – 2 divided by x2 + 2
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 5x4 -3x2 + x + 1 divided by x2 + 2.
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 3x3 – x2 + x - 2 divided by x2
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 4x3 – 3x2 + x + 1 divided by x2
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 3x3 – x2 + x - 2 divided by x+ 2
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 4x3 – 3x2 + x + 1 divided by x + 2
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(3x – 2)3
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(2x + 1)3
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x + 1)3
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x – 2) 3
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(3x – 4)2
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(2x - 3)2
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x – 5)2
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x + 4)2
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(3x + 2)(3x – 2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(2x + 3)(2x - 3)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x – 1)(x + 1)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form. (x – 7) (x + 7)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(3x + 1)(2x + 1)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(2x + 5)(x + 2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x + 3)(x + 5)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x + 2)(x + 4)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.4x2(x3 –x + 2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.x(x2 + x – 4)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.8(1 – y3) + 4(1 + y + y2 + y3)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.9(y2 – 3y + 4) – 6( 1 – y2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.8(4x3 - 3x2 – 1) – 6(4x3 +8x – 2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.6(x3 + x2 – 3) – 4(2x3 – 3x2)
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form.(x2 – 3x – 4) – (x3 -3x2 + x + 5)

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