Question

Need help please
What is the result of dividing 2x^3−3x^2−17x+30 by x + 3?
2x^2+3x−8
2x^2−9x−44
2x^2+3x−26
2x^2−9x+10

What is the result of dividing x^3−7 by x + 2?
x^2−2x+4+15/x+2
x^2−2x+4+1/x+2
x^2−2x+4−1/x+2
x^2−2x+4−15/x+2

What is the remainder when the polynomial 6x^2+11x−3 is divided by 2x−1?

What is the remainder when the polynomial 5x^2+10x−15 is divided by x + 5?

Answer 1

Use synthetic division for these questions. I did all of them, but only showed my step by step work for one of them. If you have any questions about the other answers or are stuck please comment back on this answer with a question and I'd be happy to respond! 

Answers:
1. 2x^2−9x+10
2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of $x^{2}$ as well as $x$)
3. The remainder is 4. (In the new equation this would be written as $\frac{4}{2x-1}$)
4.The remainder is 60.

I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!