Use the factor theorem and tell whether the first expression is a factor of P ( x ). x ; P ( x ) = 7 x ³ - 7 x ² - 8 x . Hint : Write x as x - 0. A) no B) yes

Question

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Using the factor theorem, if (x-a) is a factor of P(x), then P(a) = 0. 
In this case, we can write x as (x-0), so we need to check if P(0) = 0. Plugging in 0, we get:
P(0) = 7(0)^3 - 7(0)^2 - 8(0) = 0
Since P(0) = 0, we can conclude that (x-0) or simply x is a factor of P(x). Therefore, the answer is B.

Use the Factor Theorem and Tell Whether the First Expression