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NEED HELP IN THIS QUESTION ASAP, WILL GIVE BRAINLIEST ANSWER

Find the remainder when f(x) is divided by (x - k).
f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3 (1 point)


a) 188
b) 946
c) 1,704
d) 2,512

Respuesta :

The answer is b. The Remainder Theorem says that if a polynomial f(x) is divided by x – k, then the remainder is f(k). k=3 in our case, so the remainder is simply f(3). Plug in x=3 into f(x) = 7x4 + 12x3 + 6x2 - 5x + 16. f(x)=946. So the answer is b.

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