Question

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

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

-3

-61

26

-49

Answer 1

(x-k) = (x- (-2) = (x+2)

use reminder theorem

Answer 2

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

Answer 3

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

Answer 4

Actually,

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

Answer 5

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

Answer 6

so the answer would be -61??