Given the following polynomial, p(x)=7x³10x² +8x-5 According to the rational zero theorem, the possible zeros for p(x) are + 1,5 1,7 It turns out x= 1 is a true zero of p(x). You can perform synthetic division to rewrite p(x) in the factored form given below. Find the values for a,b,c. p(x) = (x - 1)(ax²+bx+c) a = b = C = 1 신 T 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.CR: Chapter Review
Problem 61E
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Given the following polynomial,
p(x)=7x³10x² +8x-5
According to the rational zero theorem, the possible zeros for p(x) are ±
a =
It turns out x= 1 is a true zero of p(x). You can perform synthetic division to rewrite
p(x) in the factored form given below. Find the values for a,b,c.
p(x) = (x - 1)(ax²+bx+c)
b =
C =
N
1,5
A/
~/~
Transcribed Image Text:Given the following polynomial, p(x)=7x³10x² +8x-5 According to the rational zero theorem, the possible zeros for p(x) are ± a = It turns out x= 1 is a true zero of p(x). You can perform synthetic division to rewrite p(x) in the factored form given below. Find the values for a,b,c. p(x) = (x - 1)(ax²+bx+c) b = C = N 1,5 A/ ~/~
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