Question

Find the remainder when f(x) is divided by (x - k)

f(x) = 7x^4 + 12x^3 + 6x^2 - 5x + 16; k = 3

Answer 1

@gorv @iGreen @phi

Answer 2

My choices are:
188

946

1704

2512

Answer 3

so we need to find the remainder when divide by x-3

Answer 4

divide it by x-3

Answer 5

How exactly do I do that?

Answer 6

Are you can plug in 3 into f

Answer 7

or not are*

Answer 8

You can do that by remainder theorem.

Answer 9

using remainder theorem, all you have to do is substitute the value of k to the equation given

Answer 10

So where it says x I put 3?

Answer 11

yep then evaluate

Answer 12

REMAINDER's THEOREM:
\[\frac{ f(x) }{ x-r } = g(x) + \frac{ R }{ x-r }\]
where R =f(r)

Answer 13

I got 946

Answer 14

that's the remainder

Answer 15

That's all I needed to do for the problem