Question

What is the standard form of a polynomial `(5h – 3)(3h + 7)`?

Answer 1

`-15h^2+26h-21`

Explanation:

The standard form for the polynomial `(ax+b)(cx+d)=acx^2+(ad+bc)x+bd`

`a=5`
`b=-3`
`c=3`
`d=7`

So, we get:
`(5h-3)(3h+7)=-3(5)h^2+(5(7)-3(3))h-3(7)`

`-15h^2+26h-21`