5. Given the function P(x) = x³+4x²+ kx + 15, for what value of k is (x + 3) a factor of P(x)? 26 8 8 -26

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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5. Given the function P(x) = x³+4x²+kx + 15, for what value of k is (x+3) a factor of P(x)?
26
8
8
O - 26
6. What are the dimensions of a right triangle if the hypotenuse is 6 inches longer than a leg and 12 inches longer than the other leg?
49 inches, 55 inches, 61 inches
12 inches, 35 inches, 37 inches
18 inches, 24 inches, 30 inches
33 inches, 39 inches, 45 inches
Transcribed Image Text:5. Given the function P(x) = x³+4x²+kx + 15, for what value of k is (x+3) a factor of P(x)? 26 8 8 O - 26 6. What are the dimensions of a right triangle if the hypotenuse is 6 inches longer than a leg and 12 inches longer than the other leg? 49 inches, 55 inches, 61 inches 12 inches, 35 inches, 37 inches 18 inches, 24 inches, 30 inches 33 inches, 39 inches, 45 inches
7. If x - 2 divides p(x) evenly, which statement must be true?
O p (2) = 0
Op(-2)=0
O - 2 is the y-intercept of p(x)
2 is the slope of p(x)
8. When p(x) = 9x4 - 45x³ + 37x² + x + 2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of P (2)?
Op(2)= - 368
O p (2) = 652
O p (2) = -64
Op (2) = 656
Transcribed Image Text:7. If x - 2 divides p(x) evenly, which statement must be true? O p (2) = 0 Op(-2)=0 O - 2 is the y-intercept of p(x) 2 is the slope of p(x) 8. When p(x) = 9x4 - 45x³ + 37x² + x + 2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of P (2)? Op(2)= - 368 O p (2) = 652 O p (2) = -64 Op (2) = 656
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