## n14r96 2 years ago Find the remainder when f(x) is divided by (x - k) f(x) = 4x3 - 6x2 + 3x + 1; k= -2 -3 -61 26 -49

1. Yahoo!

(x-k) = (x- (-2) = (x+2) use reminder theorem

2. 3psilon

You can plug in just 2 as x according to the remainder theorem

3. Yahoo!

f(-2)= 4x3 - 6x2 + 3x + 1

4. ParthKohli

Actually, f(-2) = 4(-2)^3 - 6(-2)^2 + 3(-2) + 1

5. oldrin.bataku

-2 | 4 -6 3 1 -8 28 -62 4 -14 31 -61 i.e. $\frac{4x^3-6x^2+3x+1}{x+2}=4x^2-14x+31-\frac{61}{x+2}$

6. n14r96

so the answer would be -61??