Question

multiplying polynomials

Answer 1

http://prntscr.com/ktsepm

Answer 2

@Vocaloid

Answer 3

oof

so you have to apply the distributive property

(a^2 + 3a - 7) * (2a^2 - a + 4)

let's consider just

a^2(2a^2 - a + 4)

this is an easy case, we distribute the a^2 to get

2a^4 - a^3 + 4a^2

likewise we can also consider

(3a)* (2a^2 - a + 4)

and

(-7)(2a^2 - a + 4)

distribute them, and add up all the results

Answer 4

this isn't how I would normally do it, but it can be helpful to break down the first polynomial into its three components, distribute, and add the results, otherwise it gets super long and confusing

Answer 5

is (-7)(2a^2 - a + 4)
the final result ?

Answer 6

hm, unfortunately not, there should be at least an a^4 term in there somewhere

Answer 7

so you see how I distributed

a^2(2a^2 - a + 4)?

you have to repeat the same process with

(3a)* (2a^2 - a + 4)

and

(-7)(2a^2 - a + 4)

and add to what I already have up there