Question

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

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

-3
-61
26
-49

Answer 1

@Hero @Loser66 @robtobey

Answer 2

substitute k for -2 into the divisor (x-k)
then solve for x

Answer 3

set it equal to zero \[ x-(\color{red}{-2})=0\] x= ?

Answer 4

and then substitute x for its value into f(x) function to find remainder

Answer 5

\[\text{PolynomialQuotientRemainder}\left[4 x^3-6 x^2+3 x+1,x--2,x\right] \]{31 - 14 x + 4 x^2, -61}
Quotient, Remainder

Answer 6

Above from Mathematica v9

Answer 7

x = -2?

Answer 8

yes right now substitute x for -2 \[f(x) = 4x^3 - 6x^2 + 3x + 1\] then solve right side

Answer 9

x--2 = x + 2

Answer 10

oh okay i see, it sums up to -61

Answer 11

yes right.

Answer 12

okay thank you both

Answer 13

yw