Question 155737
You would perform a synthetic division of the two polynomials.
Similar to long division but the columns signify terms of degrees of x.
To get 5x^2, I would need to multiply (x+6) by 5x.
That would give me 5x^2+30x.
Subtract that from 5x^2+28x-10 would leave -2x-10.
to get -2x, I would need to multiply (x+6) by (-2)
That would give me -2x-12.
Subtract that from -2x-10 would leave 2.
I can't go any further.
Gather up all of the terms and the remainder.
{{{(5x^2+28x-10)/(x+6)=5x-2+2/(x+6)}}}