SOLUTION: Divide f(x) by d(x), and write a summary statement in the form indicated. f(x)= x^4+5x^3-2x^2+5x-3 ; d(x)= x^2+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide f(x) by d(x), and write a summary statement in the form indicated. f(x)= x^4+5x^3-2x^2+5x-3 ; d(x)= x^2+1      Log On


   

Question 1093215: Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x)= x^4+5x^3-2x^2+5x-3 ; d(x)= x^2+1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=+x%5E4%2B5x%5E3-2x%5E2%2B5x-3 ; d%28x%29=+x%5E2%2B1
f%28x%29%2Fd%28x%29=%28x%5E4%2B5x%5E3-2x%5E2%2B5x-3%29%2F%28x%5E2%2B1%29...factor numerator
f%28x%29%2Fd%28x%29=%28x%5E4%2B5x%5E3-3x%5E2%2Bx%5E2%2B5x-3%29%2F%28x%5E2%2B1%29


f%28x%29%2Fd%28x%29=%28%28x%5E2+%2B+1%29+%28x%5E2+%2B+5x+-+3%29%29%2F%28x%5E2%2B1%29

f%28x%29%2Fd%28x%29=x%5E2+%2B+5x+-+3