Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible 8x^2+4x−12/4

Question

Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible 8x^2+4x−12/4

Answer 1

To divide the polynomial 8x^2 + 4x − 12 by the monomial denominator 4, we can write it as a fraction and simplify:

(8x^2 + 4x − 12) / 4

Now let's divide each term by 4:

(8x^2)/4 + (4x)/4 − 12/4

Simplifying each term further:

2x^2 + x − 3

So, the polynomial divided by the monomial denominator 4 is:
2x^2 + x − 3.