SOLUTION: 1.) write f(x)=x^3+10x^2+27x+47 in the form f(x)=(x-k)q(x)+r when k=-7 2.) simplify i^479

Algebra ->  Trigonometry-basics -> SOLUTION: 1.) write f(x)=x^3+10x^2+27x+47 in the form f(x)=(x-k)q(x)+r when k=-7 2.) simplify i^479       Log On


   

Question 860656: 1.) write f(x)=x^3+10x^2+27x+47 in the form f(x)=(x-k)q(x)+r when k=-7
2.) simplify i^479
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
That is checking the value of -7 as a root, and you can do synthetic division. r will be the remainder, nonzero if -7 is not a root of f(x). The quotient will be what you find for q(x).

Badly stated:You will/should find q%28x%29=x%5E2%2B3x%2B6 and cross%28r=5%2F%28x%2B7%29%29.

Better Stated: highlight%28f%28x%29=%28x%2B7%29%28x%5E2%2B3x%2B6%29%2B5%29