SOLUTION: Express f(x) in the form(x)=(x-k)q(x)+r for the given value of k. f(x)=x^3 +6x^2 +10x+4,k=-2 f(x)=_____

Algebra ->  Expressions-with-variables -> SOLUTION: Express f(x) in the form(x)=(x-k)q(x)+r for the given value of k. f(x)=x^3 +6x^2 +10x+4,k=-2 f(x)=_____      Log On


   

Question 925901: Express f(x) in the form(x)=(x-k)q(x)+r for the given value of k.
f(x)=x^3 +6x^2 +10x+4,k=-2
f(x)=_____
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Express f(x) in the form f(x)=(x-k)q(x)+r for the given value k?

f%28x%29=x%5E3+%2B6x%5E2+%2B10x%2B4,k=-2
f%28x%29=%28x-%28-2%29%29%28___%29%2B_____
f%28x%29=%28x%2B2%29%28___%29%2B_____


_________________
2)1. .6. .10. ..4
. ___2__8___4__0___
. 1. .4. . 2. .....0. <== remainder "r"
coefficients:
1. .4. . 2.. means q%28x%29+=+x%5E2+%2B+4x+%2B2
f%28x%29+=+%28x+%2B2%29%28x%5E2+%2B+4x+%2B2%29 <==ANSWER