Home > Algebra > Division of Polynomials

How do you divide #(2x^2 + x – 16) /(x – 3)#?

Answer 1

Savannah Anderson

#(2x^2+x-16)/(x-3)=2x+7+5/(x-3)#

I would use synthetic division.

This means that

#(2x^2+x-16)/(x-3)=2x+7+5/(x-3)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To divide (2x^2 + x – 16) by (x – 3), you can use long division or synthetic division. Here is the solution using long division:

     2x + 7
_______________

x - 3 | 2x^2 + x - 16 - (2x^2 - 6x) _____________ 7x - 16 - (7x - 21) _____________ 5

Therefore, the quotient is 2x + 7 and the remainder is 5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.