Question

How do you write `(x^2 + 4x – 3)(2x^2 + x + 6)` in standard form?

Answer 1

`2x^4+9x^3+4x^2+21x-18`

Explanation:

This is a long one, but it's not difficult, as long as we watch our signs

`(x^2+4x-3)(2x^2+x+6)`

`2x^4+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18`

combine like terms:

`2x^4+(1x^3+8x^3)+(6x^2+4x^2-6x^2)+(24x-3x)-18`

`2x^4+9x^3+4x^2+21x-18`