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Which of the following is a factor of f(x) = 5x3 + 24x2 − 75x + 14? A. (x + 1 over 2) B. (x − 1 over 2) C. (x + 2) D. (x − 2)

Dana Keller

in Mathematics

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Whitney Matthews on March 19, 2019

F(x) = 5x3 + 24x2 - 75x + 14Set each factor equal to 0 and obtain 4 values for x:A) x = -1/2B) x = 1/2C) x = -2D) x = 2Now, use the hit and trial method to find the answer. We are looking for a value of x that is placed at f(x) = 05(-1/2)3 + 24(-1/2)2 - 75(-1/2) + 14=/= 05(1/2)3 + 24(1/2)2 - 75(1/2) + 14 =/= 05(-2)3 + 24(-2)2 - 75(-2) + 14= /= 05(2)3 + 24(2)2 - 75(2) + 14= 0Thus, the answer is D


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