Help im confusted about remainder therom Use the Remainder Theorem to determine which binomial is a factor of the function f(x) = x3 − 7x2 + 36. (x + 3) (x + 2) (x + 6) (x − 2)
Accepted Solution
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Answer:(x + 2) is a factor of f(x)Step-by-step explanation:Using the remainder theorem to divide f(x) by (x - h)Evaluate f(h) and if equal to 0 then (x - h) is a factorf(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0Hence (x + 2) is a factor of f(x)