Question

Multiply. Express your answer in standard form. (3 points) (x² - 2x + 3)(-2x² + 4x – 1)

show your work

Answer 1

You need to multiply each term in the left bracket by each term by the right bracket and sum them.
*Image attached*
First multiply
`x^2` by the whole second bracket
`(-2x^2+4x-1)`:

`x^2*(-2x^2+4x-1)=-2x^4+4x^3-x^2` and call this equation (1)
Then, similarly;

`(-2x)*(-2x^2+4x-1)=4x^3-8x^2+2x` equation (2)
Finally;

`3*(-2x^2+4x-1)=-6x^2+12x-3` equation (3)
Then add the results of equation (1) and(2) and(3):

`-2x^4+4x^3-x^2+4x^3-8x^2+2x-6x^2+12x-3=`

`-2x^4+8x^3-15x^2+14x-3`
Hope this helps.