Use the remainder theorem to find the value of f(x).
find f(-3).
f(x)=2x^2 - 5x-8

well, the remainder theorem states that for an expression of  x + a dividing a polynomial say f(x), will gives some remainder, well that remainder is exactly the same value as if we simply just take f(-a).

so, let's take a peek, we're given f(-3), that means that x = -3,  which we can write as x + 3 = 0.

that means that if we divide f(x) by x + 3, we'll get the same value as if we simply solve for f(-3), let's check, let's divide 2x² - 5x - 8 by x + 3, using synthetic division.

(x+3)(x+7)

step-by-step explanation:

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step-by-step explanation:

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