Which of the following is an x intercept of the function f(x)=x^3 -x^2-8x+12 A. 3
B. -4
C. -3
D. 4

C

Step-by-step explanation:

Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.

f(3)

= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0

f(- 4)

= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0

f(- 3)

= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0

f(4)

= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0

Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)

5+2x=a

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