Use the remainder theorem to find the remainder when f(x) = x^4 + 4x^3 - x^2 - 16x -12 is divided by x - 4. 36 420 548 -92

420

Step-by-step explanation:

The remainder theorem tells you the remainder is f(4), which you can find by evaluating the expression for x=4. Evaluation is simpler if the expression is written in Horner form first.

... f(x) = (((x +4)x -1)x -16)x -12

... f(4) = (((4 +4)4 -1)4 -16)4 -12

... = ((8·4 -1)4 -16)4 -12

... = (31·4 -16)4 -12

... = 108·4 -12 = 420

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Comment on evauation using Horner's form

The intermediate results (contents of parentheses) are the same as the intermediate results you get when you use synthetic division.

lol we need to see what the question is asking about

step-by-step explanation: