7) If k is a constant, what is the value of k such that the polynomial k²x³ - 6kx +9 is divisible by x - 1?
7) If k is a constant, what is the value of k such that the polynomial k²x³ - 6kx +9 is divisible by x - 1?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 48E
Related questions
Question
Question 7
![7) If k is a constant, what is the value of k such that the polynomial k²x3 - 6kx + 9 is divisible by x - 1?
8) Given z(x) = 6x3 + bx² -52x + 15, z(2) = 35, and z(-5) = 0, determine all of the zeros of z(x).
9) Which THREE are factors of the polynomial p(x) = x³ + 5x² + 2x -8?
(A) (x-4)
(B) (x - 2)
(C) (x-1)
(D) (x + 1)
(E)) (x + 2)
((F) (x + 4)
-X²+6x² - 6x +8x
x ²³= x² +6x² - 6x +8/x-3)
↓
6x x(x-1)
x² x (x-1)
(x-1)x(x²+bx+3)
(x-1)×(x+1)x (x+2)
4x+2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F277e2bd6-aa16-4b9b-8eff-85b37a6d58e3%2Fd290ecf8-85a3-4094-a32e-cf68aa95f467%2Fdnnymr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7) If k is a constant, what is the value of k such that the polynomial k²x3 - 6kx + 9 is divisible by x - 1?
8) Given z(x) = 6x3 + bx² -52x + 15, z(2) = 35, and z(-5) = 0, determine all of the zeros of z(x).
9) Which THREE are factors of the polynomial p(x) = x³ + 5x² + 2x -8?
(A) (x-4)
(B) (x - 2)
(C) (x-1)
(D) (x + 1)
(E)) (x + 2)
((F) (x + 4)
-X²+6x² - 6x +8x
x ²³= x² +6x² - 6x +8/x-3)
↓
6x x(x-1)
x² x (x-1)
(x-1)x(x²+bx+3)
(x-1)×(x+1)x (x+2)
4x+2x
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