ax² + bx+c, g(x) = -ax² + bx+c, where ac # 0, th hat f(x) g(x)=0 has at least two rool roots

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 6ECP
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If f(x) = ax² + bx+c, g(x) = −ax² + bx + c, where ac + 0, then
prove that f(x) g(x) = 0 has at least two real roots.
Transcribed Image Text:If f(x) = ax² + bx+c, g(x) = −ax² + bx + c, where ac + 0, then prove that f(x) g(x) = 0 has at least two real roots.
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