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Questions and Answers of College Algebra

Factor the polynomial.10m4 + 43m2 - 9
Factor the polynomial.12t4 - t2 - 35
Factor the polynomial.a4 - 2a2 - 48
Factor the polynomial.m4 - 3m2 - 10
Factor the polynomial.(5x - 2)3 - 8
Factor the polynomial.(3x + 4)3 - 1
Factor the polynomial.(x - 4)3 + 64
Factor the polynomial.(a + 1)3 + 27
Factor the polynomial.4(5x + 7)2 + 12(5x + 7) + 9
Factor the polynomial.9(a - 4)2 + 30(a - 4) + 25
Factor the polynomial.6(4z - 3)2 + 7(4z - 3) - 3
Factor the polynomial.7(3k - 1)2 + 26(3k - 1) - 8
Factor the polynomial.125 - (4a - b)3
Factor the polynomial.27 - (m + 2n)3
Factor the polynomial.(b + 3)3 - 27
Factor the polynomial.(r + 6)3 - 216
Factor the polynomial.27z9 + 64y12
Factor the polynomial.27y9 + 125z6
Factor the polynomial.8m3 - 27n3
Factor the polynomial.125x3 - 27
Factor the polynomial.27 - r3
Factor the polynomial.8 - a3
Factor the polynomial.9m2 - n2 - 2n - 1
Factor the polynomial.y2 - x2 + 12x - 36
Factor the polynomial.m2 + 10m + 25 - n4
Factor the polynomial.x2 - 8x + 16 - y2
Factor the polynomial.m4 - 1296
Factor the polynomial.p4 - 625
Factor the polynomial.(p - 2q)2 - 100
Factor each polynomial.(a + b)2 - 16
Factor the polynomial.36z2 - 81y4
Factor the polynomial.25s4 - 9t2
Factor the polynomial.y4 - 81
Factor the polynomial.x4 - 16
Factor each polynomial.16q2 - 25
Factor the polynomial.9a2 - 16
Factor the trinomial, if possible.(2p + q)2 - 10(2p + q) + 25
Factor the trinomial, if possible.(a - 3b)2 - 6(a - 3b) + 9
Factor the trinomial, if possible.9m2n2 + 12mn + 4
Factor the trinomial, if possible.4x2y2 + 28xy + 49
Factor the trinomial, if possible.20p2 - 100pq + 125q2
Factor the trinomial, if possible.32a2 + 48ab + 18b2
Factor the trinomial, if possible.16p2 - 40p + 25
Factor the trinomial, if possible.9m2 - 12m + 4
Factor the trinomial, if possible.18x5 + 15x4z - 75x3z2
Factor the trinomial, if possible.24a4 + 10a3b - 4a2b2
Factor the trinomial, if possible.30a2 + am - m2
Factor the trinomial, if possible.12x2 - xy - y2
Factor each trinomial, if possible.12s2 + 11st - 5t2
Factor the trinomial, if possible.5a2 - 7ab - 6b2
Factor the trinomial, if possible.14m2 + 11mr - 15r2
Factor the trinomial, if possible.6k2 + 5kp - 6p2
Factor the trinomial, if possible.36x3 + 18x2 - 4x
Factor the trinomial, if possible.12a3 + 10a2 - 42a
Factor the trinomial, if possible.9x2 + 4x - 2
Factor the trinomial, if possible.15p2 + 24p + 8
Factor the trinomial, if possible.9y2 - 18y + 8
Factor the trinomial, if possible.3m2 + 14m + 8
Factor the trinomial, if possible.8h2 - 2h - 21
Factor the trinomial, if possible.6a2 - 11a + 4
Factor the polynomial by grouping.20z2 - 8x + 5pz2 - 2px
Factor the polynomial by grouping.p2q2 - 10 - 2q2 + 5p2
Factor the polynomial by grouping.4x6 + 36 - x6y - 9y
Factor the polynomial by grouping.2m4 + 6 - am4 - 3a
Factor the polynomial by grouping.10ab - 6b + 35a - 21
Factor the polynomial by grouping.6st + 9t - 10s - 15
Kurt factored 16a2 - 40a - 6a + 15 by grouping and obtained (8a - 3)(2a - 5). Callie factored the same polynomial and gave an answer of (3 - 8a)(5 - 2a). Which answer is correct?
When directed to completely factor the polynomial 4x2y5 - 8xy3, a student wrote 2xy3(2xy2 - 4). When the teacher did not give him full credit, he complained because when his answer is multiplied out,
Factor out the greatest common factor from the polynomial.5(a + 3)3 - 2(a + 3) + (a + 3)2
Factor out the greatest common factor from the polynomial.2(m - 1) - 3(m - 1)2 + 2(m - 1)3
Factor out the greatest common factor from the polynomial.(4z - 5)(3z - 2) - (3z - 9)(3z - 2)
Factor out the greatest common factor from the polynomial.(5r - 6)(r + 3) - (2r - 1)(r + 3)
Factor out the greatest common factor from the polynomial.6x(a + b) - 4y(a + b)
Factor out the greatest common factor from the polynomial.2(a + b) + 4m(a + b)
Factor out the greatest common factor from the polynomial.28r4s2 + 7r3s - 35r4s3
Factor out the greatest common factor from each polynomial.4k2m3 + 8k4m3 - 12k2m4
Factor out the greatest common factor from each polynomial.-3z5w2 - 18z3w4
Factor out the greatest common factor from each polynomial.-4p3q4 - 2p2q5
Factor out the greatest common factor from each polynomial.5h2j + hj
Factor out the greatest common factor from each polynomial.xy - 5xy2
Factor out the greatest common factor from the polynomial.9z4 + 81z
Factor out the greatest common factor from each polynomial.8k3 + 24k
Factor out the greatest common factor from each polynomial.15r - 27
Factor out the greatest common factor from each polynomial.12m + 60
Work each problem.Which of the following is the correct factorization of x3 + 8?A. (x + 2)3 B. (x + 2)(x2 + 2x + 4)C. (x + 2)(x2 - 2x + 4) D. (x + 2)(x2 - 4x + 4)
Which of the following is the correct complete factorization of x4 - 1?A. (x2 - 1)(x2 + 1) B. (x2 + 1)(x + 1)(x - 1)C. (x2 - 1)2D. (x - 1)2(x + 1)2
Work each problem.Which of the following is the correct factorization of 6x2 + x - 12?A. (3x + 4)(2x + 3) B. (3x - 4)(2x - 3)C. (3x + 4)(2x - 3) D. (3x - 4)(2x + 3)
Work each problem.Match each polynomial in Column I with its factored form in Column II.I....................................................................II(a) 8x3 -
Work each problem.Match each polynomial in Column I with its factored form in Column II.I................................................................................II(a) x2 + 10xy +
Fill in the blank(s) to correctly complete each sentence.There is no factoring pattern for a in the real number system. In particular, x2 + y2 does not factor as (x + y)2, for real numbers x and
Fill in the blank(s) to correctly complete each sentence.When a polynomial has more than three terms, it can sometimes be factored using_________ .
Fill in the blank(s) to correctly complete each sentence.Factoring is the opposite of _________ .
Fill in the blank(s) to correctly complete each sentence.A polynomial is factored completely when it is written as a product of ______ .
Fill in the blank(s) to correctly complete each sentence.The process of finding polynomials whose product equals a given polynomial is called ___________.
The special products can be used to perform selected multiplications. On the left, we use (x + y)(x - y) = x2 - y2. On the right, (x - y)2 = x2 - 2xy + y2.Use special products to evaluate each
The special products can be used to perform selected multiplications. On the left, we use (x + y)(x - y) = x2 - y2. On the right, (x - y)2 = x2 - 2xy + y2.Use special products to evaluate each
Perform the operation mentally. 154 54
Perform the operation mentally. 4.25 2.15
Perform the operation mentally.(242)(0.52)
Perform the operation mentally.(0.253)(4003)

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