Question

Using arithmetic operations, rewrite this polynomial in standard, simplest form.

(3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x − 7)

Answer 1

x²+4x-12

Explanation:

The first step is the multiplication in the last part of polinomial

(2x+4)(3x-7)

We multiply first with first, first with second then second with first and second with second

6x²-14x+12x-28

=6x²-2x-28

The complete polynomial

3x²+9x+6-8x²-3x+10+6x²-2x-28

Then we goup the grades

3x²-8x²+6x²=x²

9x-3x-2x=4x

6+10-28=-12

All this in the polynomial form

x²+4x-12