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question 5 of 25 the polynomial (x - 2) is a factor of the polynomial 5…

Question

question 5 of 25
the polynomial (x - 2) is a factor of the polynomial 5x² - 6x + 4.

a. true

b. false

Explanation:

Step1: Apply Factor Theorem

By Factor Theorem, if $(x-2)$ is a factor, $f(2)=0$.

Step2: Calculate $f(2)$

$f(2)=5(2)^2 -6(2)+4=5(4)-12+4=20-12+4=12≠0$.

Answer:

B. False