8-94. Without actually multiplying, decide which of the following polynomials could be the product of (x-2)(x+3)(x-5). Justify your choice. a. x-4x²-11x-5 b. 2x-4x²-11x+30 C. x-4x²-11x+30 d. 2x-4x2-11x-5

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.4: Solving Quadratic Equations
Problem 3E: Far the quadratic equation ax2+bx+c=0 the discriminant is D = ______________. The discriminant tells...
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8-94 a and b
IA thẻ standard window.
the graph, what number
appears to be an integer solution
to the equation?
b. Verify that your answer to part (a)
is a solution.
c. Since you know a solution to the equation, what is the factor associated with this
solution?
d. Use polynomial division to determine the other factor.
e. Use your new factor to complete the following
equation.
x°+5x²–16x–14=0
(x+7)(other factor)=0
f. The "other factor" leads to two other solutions to the equation. What are the two other solutions? State all three
solutions to the original equation.
8-93.
Now Carlos needs to solve 2x²+3x²–8x+3=0, but his calculator will still only create a graph with a standard viewing
window. He sees that the graph of y=2x²+3x²–8x+3 crosses the x-axis at x=1. What are all three solutions
to 2x+3x²-8x+3=0?
8-94.
Without actually multiplying, decide which of the following polynomials could be the product of (x-2)(x+3)(x-5).
Justify your choice.
a. x²-4x²-11x-5
b. 2x-4x²-11x+30
C. x-4x²-11x+30
d. 2x-4x²-11x-5
8-95.
Consider the equation 5x²-7x-6=0 as you complete the parts below.
a. What are the factors of 5x²-7x-6?
b. What are the solutions to the
equation 5x²-7x-6=0?
c. How are the solutions to the
equation related to the leading
coefficient and constant term in the
original polynomial?
Transcribed Image Text:IA thẻ standard window. the graph, what number appears to be an integer solution to the equation? b. Verify that your answer to part (a) is a solution. c. Since you know a solution to the equation, what is the factor associated with this solution? d. Use polynomial division to determine the other factor. e. Use your new factor to complete the following equation. x°+5x²–16x–14=0 (x+7)(other factor)=0 f. The "other factor" leads to two other solutions to the equation. What are the two other solutions? State all three solutions to the original equation. 8-93. Now Carlos needs to solve 2x²+3x²–8x+3=0, but his calculator will still only create a graph with a standard viewing window. He sees that the graph of y=2x²+3x²–8x+3 crosses the x-axis at x=1. What are all three solutions to 2x+3x²-8x+3=0? 8-94. Without actually multiplying, decide which of the following polynomials could be the product of (x-2)(x+3)(x-5). Justify your choice. a. x²-4x²-11x-5 b. 2x-4x²-11x+30 C. x-4x²-11x+30 d. 2x-4x²-11x-5 8-95. Consider the equation 5x²-7x-6=0 as you complete the parts below. a. What are the factors of 5x²-7x-6? b. What are the solutions to the equation 5x²-7x-6=0? c. How are the solutions to the equation related to the leading coefficient and constant term in the original polynomial?
iginal equation.
šolutions to the equation. What are the two other solutions? State all three
Now Carlos needs to solve 2x³+3x²-8x+3=0, but his calculator will still only create a graph with a standard viewing
window. He sees that the graph of y=2x³+3x²-8x+3 crosses the x-axis at x=1. What are all three solutions
to 2x3+3x²-8x+3=0?
8-93.
8-94.
Without actually multiplying, decide which of the following polynomials could be the product of (x-2)(x+3)(x-5).
Justify your choice.
a. x³-4x²-11x-5
b. 2x3-4x2-11x+30
d. 2x°-4x2-11x-5
C. x³-4x²-11x+30
8-95.
Consider the equation 5x²-7x-6=0 as you complete the parts below.
a. What are the factors of 5x²–7x-6?
c. How are the solutions to the
equation related to the leading
coefficient and constant term in th
original polynomial?
b. What are the solutions to the
equation 5x2-7x-6=0?
Transcribed Image Text:iginal equation. šolutions to the equation. What are the two other solutions? State all three Now Carlos needs to solve 2x³+3x²-8x+3=0, but his calculator will still only create a graph with a standard viewing window. He sees that the graph of y=2x³+3x²-8x+3 crosses the x-axis at x=1. What are all three solutions to 2x3+3x²-8x+3=0? 8-93. 8-94. Without actually multiplying, decide which of the following polynomials could be the product of (x-2)(x+3)(x-5). Justify your choice. a. x³-4x²-11x-5 b. 2x3-4x2-11x+30 d. 2x°-4x2-11x-5 C. x³-4x²-11x+30 8-95. Consider the equation 5x²-7x-6=0 as you complete the parts below. a. What are the factors of 5x²–7x-6? c. How are the solutions to the equation related to the leading coefficient and constant term in th original polynomial? b. What are the solutions to the equation 5x2-7x-6=0?
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