Question

Help :(( find the product!!

Answer 1

`2x^(4)-3x^(3)-6x^(2)+36 x -35`

Explanation:

we need to apply the distributive property

we have

`(x^(2)-  3x+5)*(2x^(2) +3x-7)`

so we have

`x^(2) * 2x^(2) +x^(2)*3x-x^(2) *7-3x*2x^(2) -3x*3x*+3x*7+5*2x^(2) +5*3x-5*7`

we know:

`x^(2) *x^(2)`=
`x^(4)`

x*x=
`x^(2)`

`x^(2)*x= x^(3)`

so we have

`2x^(4)+3x^(3) -7x^(2) -6x^(3) -9x^(2) +21x+10x^(2) +15x-35`

`2 x^(4)-3x^(3)-6x^(2)+36x-35`