luanglathangela0 luanglathangela0

01-06-2019
Mathematics

contestada

Given a polynomial f(x), if (x − 2) is a factor, what else must be true?
A. f(0) = 2
B. f(0) = −2
C. f(−2) = 0
D. f(2) = 0

Respuesta :

wegnerkolmp2741o wegnerkolmp2741o

01-06-2019

Answer:

D. f(2) = 0

Step-by-step explanation:

If x-2 is a factor of a function, then f(2) must be zero

f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)

Substitute in x=2

f(2) = p(2) (2-2)

f(2) = p(2) *(0)

Anything times 0 = 0

f(2) = 0

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