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Questions and Answers of College Algebra

Divide. 8wxy2 + 3wx2y + 12w²xy 4wx²y
Complete the division. 36² 2b-5)6b3 7b² - 4b - 40 6b³-15b² 86²
Divide. 12ab²c + 10a²bc + 18abc² 6a²bc
Divide. у2 + 3у - 18 у +6
Complete the division. r2 3r - 1)3r3 - 22r2 + 25r - 6 3r3 r2 -21r² -
Divide. q² + 2q - 35 9-5
Divide. y2 +y-20 у + 5 +5
Divide. q² +4q-32 9-4
Divide. p² + 2p + 20 P + 6
Divide. 3t² + 17t + 10 3t + 2
Divide. 2k² - 3k - 20 2k + 5
Divide. x² + 11x + 16 x + 8
Divide. 3m3 + 5m² - 5m + 1 3m-1
Divide. 82³ - 62² - 5z + 3 42 4z + 3
Divide. 4x³ + 9x² 10x - 6 4x + 1
Divide. 102³ 262² + 172 - 13 52 - 3
Divide. m³ - 2m² - 9 m-3
Divide. p³ + 3p²-4 P + 2
Divide. 6x³19x²14x - 15 3x² - 2x + 4
Divide. 8m³ 18m² + 37m 13 2m² - 3m +6 -
Divide. (2x³ 11x² + 25) = (x - 5)
Divide. (x³ + 2x - 3)(x - 1)
Divide. (r3 + 5x2 – 18) + (x+3)
Divide. (3x³ = x + 4) = (x - 2)
Divide. 4k4 + 6k3 + 3k - 1 2k² 2k2 + 1 -
Divide. (2x³ + 3x²5) + (x - 1)
Divide. 9k4 12k³ - 4k - 1 3k² - 1
Divide. (223-52² +62 - 15) + (2z - 5)
Divide. (3k³ +9k14) ÷ (k − 2)
Divide. (3p3 + p² + 18p + 6) = (3p + 1)
Divide. 8a³ + 1 2a + 1
Divide. 6y4 + 4y³ + 4y - 6 3y² + 2y - 3
Divide. (x4 4x³ + 5x²-3x + 2) = (x² + 3) -
Divide. (31451381² 13t+2) ÷ (t²-5)
Divide. 814 + 6t3+ 12t - 32 4t² + 3t8
Divide. p³ - 1 P-1 Р
Divide. (2p³ + 7p² +9p+ 3) ÷ (2p + 2)
Suppose that the volume of a box isThe height is p feet and the length is (p + 4) feet. Find an expression in p that represents the width. (2p³ + 15p² + 28p) cubic feet.
Divide. 7 (28-1-1 (3 2:2 ÷ – (3x + 1)
Divide. (3x³+4x²+ 7x + 4) = (3x + 3)
Divide. m² + 7 m m+3 ÷ (2m + 3)
Divide. (3a² 11a +17) + (2a + 6)
Divide. 3a2 23 4 -a-5 + (4a + 3)
Divide. (5t2 + 19t + 7) = (4t + 12)
Divide. 19 ( 32 + 4 - 3 ) + (54 +59 - (5q – 2)
Suppose that a minivan travelsin (2m + 9) hours. Find an expression in m that represents the rate of the van in miles per hour (mph). (2m³ + 15m² + 35m + 36) miles
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 10x² - 2x, g(x) = 2x
Let P(x) = 4x3 - 8x2 + 13x - 2 and D(x) = 2x - 1. Use division to find polynomials Q(x) and R(x) such that P(x) = Q(x) D(x) + R(x).
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 4x² − 23x - 35, g(x) = x - 7
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 8x³-27, g(x) = 2x - 3
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 18x² – 24x, g(x) = 3x
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 2x² - x - 3, g(x)=x+1
For each pair of functions, find A (ƒ/g) (x) and give any x-values that are not in the domain of the quotient function. f(x) = 27x³ + 64, g(x) = 3x +4
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (7) (x)
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. ((7)
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (4) h (x)
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. h (1) (x)
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. -100
For P(x) = x3 - 4x2 + 3x - 5, find P(-1). Then divide P(x) by D(x) = x + 1. Compare the remainder with P(-1). What do these results suggest?
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. g h (x)
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. -100 G
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (3) | 100
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (8) (-1) h
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. 3 OG 8 la
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (((--) 2
Let ƒ(x) = x2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (9) (-3) 2
In Problems 1–8, find the real solution(s), if any, of each equation. √2x + 1 = 3
In Problems 1–8, find the real solution(s), if any, of each equation. 3x - 5 = 0
In Problems 1–8, find the real solution(s), if any, of each equation. |x2| = 1
In Problems 1–3, use P1 = (-1, 3) and P2 = (5, -1).(a) Find the slope of the line containing P1 and P2. (b) Interpret this slope.
In Problems 1–8, find the real solution(s), if any, of each equation. √x² + 4x = 2
In Problems 1–8, find the real solution(s), if any, of each equation.x2 - x - 12 = 0
In Problems 11–14, solve each inequality. Graph the solution set. 2 + x > 3
In Problems 5–16, write a general formula to describe each variation. z varies directly with the sum of the cube of x and the square of y; z 1 when x = 2 and y = 3
In Problems 1–8, find the real solution(s), if any, of each equation.2x2 - 5x - 3 = 0
In Problems 1–8, find the real solution(s), if any, of each equation.x2 - 2x - 2 = 0
In Problems 11–14, solve each inequality. Graph the solution set. |x2| ≤ 1
Sketch the graph of y2 = x
In Problems 1–8, find the real solution(s), if any, of each equation. x2 + 2x + 5 = 0
In Problems 9 and 10, solve each equation in the complex number system.x2 = -9
In Problems 24 and 25, find the intercepts and graph each line. 1 2 + 1 3 2
In Problems 9 and 10, solve each equation in the complex number system.x2 - 2x + 5 = 0
The resistance (in ohms) of a circular conductor varies directly with the length of the conductor and inversely with the square of the radius of the conductor. If 50 feet of wire with a radius of 6
The amount of heat transferred per hour through a glass window varies jointly with the surface area of the window and the difference in temperature between the areas separated by the glass. A window
In Problems 24 and 25, find the intercepts and graph each line. Graph y = √x.
In Problems 11–14, solve each inequality. Graph the solution set.2x - 3 ≤ 7
In Problems 11–14, solve each inequality. Graph the solution set.-1 < x + 4 < 5
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if
Sketch the graph of y = x3.
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if
In Problems 17–22, write an equation that relates the quantities. The area A of a triangle varies jointly with the product of the lengths of the base b and the height h. The constant of
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if
In Problems 13–24, determine whether or not the graph is that of a function by using the vertical-line test. In either case, use the graph to find:(a) The domain and range (b) The intercepts, if
In Problems 22 and 23, find the slope and y-intercept of each line. Graph the line, labeling any intercepts. 4x - 5y = -20
In Problems 24 and 25, find the intercepts and graph each line. Graph y = x3.
The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30-year mortgage is $854.00 when $130,000 is borrowed, find an equation that relates the
In Problems 17–22, write an equation that relates the quantities.The square of the length of the hypotenuse c of a right triangle varies jointly with the sum of the squares of the lengths of its
The weight of a body varies inversely with the square of its distance from the center of Earth. Assuming that the radius of Earth is 3960 miles, how much would a man weigh at an altitude of 1 mile
The intercepts of the equation x2 + 4y2 = 16 are ________.
Write a real-world problem that you think involves two variables that vary inversely. Exchange your problem with another student’s to solve and critique.

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