Question

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

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

x2 + 4x − 12
x2 + 8x − 42
17x2 + 10x − 32
17x2 + 14x + 24

Answer 1

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

First distribute the (2x+4)(3x-7) to get 6x2-2x-28
After this just add the like terms for all parts of the expression.
(3x2-8x2+6x2)+(9x-3x-2x)+(6+10-28)
x2+4x-12

So you answer is x2+4x-12