Find the quotient using long division.​ Don't forget to write the polynomials in descending order and fill in any missing terms.

Question

-8b+16b^2-5/(4b-1)

Find the quotient using long division.​ Don't forget to write the polynomials in descending order and fill in any missing terms.

Answer 1

16b^2 -8b -5 divided by 4b -1

= 4b -1 with remainder -6

(4b-1)^2 = 16b^2 -8b +1

16b^2 -8b -5 -(16b^2-8b+1) = -6

or

quotient = 4b -1 - 6/(16b^2-8b-5)