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

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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