anonymous one year ago 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

1. anonymous

@Hero @Loser66 @robtobey

2. Nnesha

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

3. Nnesha

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

4. Nnesha

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

5. anonymous

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

6. anonymous

Above from Mathematica v9

7. anonymous

x = -2?

8. Nnesha

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

9. anonymous

x--2 = x + 2

10. anonymous

oh okay i see, it sums up to -61

11. Nnesha

yes right.

12. anonymous

okay thank you both

13. Nnesha

yw