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