Use ordinary division of polynomials to find a coefficient and remainder when the 1st polynomial is divided by the 2nd: X²-2x+7,x-4

Answer 1

Hi Ayanna,

I divided x^2 - 2 x + 7 by x -4

and my quotient was x + 2 with a remainder of 15.

I then checked my answer by multiplying the two polynomials ( x + 2 ) (x -4) getting x^2 + 2 x -4 x - 8 and then added in the remainder 15 and got the original polynomial.

Hope this helps