Dividing Poly's: Find D(x) from quotient, remainder, divisor

[EyesThatSparkle02]

I'm having problems with two questions from my hw. I have no idea where to even start to solve the problems. Please help as much as you can!! Thanks so much!!!

1. When x^3 - 7x + 4 is divided by the polynomial D(x), the quotient is x^2 - 3x + 2 and the remainder is -2. Find D(x).

2. Find k so that when x^3 + kx^2 + k^2x + 14 is divided by x+2, the remainder is 0.

 

[Loren]

Re: Dividing Polynomials Help

When 30 is divided by n, the quotient is 4 and the remainder is 2. Find n.

If 30 ÷ n = 4 with remainder of 2, then 4n+2 = 30. Solve for n.

Do the same for your problem #1.