Question

Multiply the following polynomials and enter the MISSING LINEAR Term :

−3y(5y3 + 11y2 − y + 8) =−15y4 −33y3 + 3y2 − _____?_____

Answer 1

- 15y4 - 33y3 + y2 + 8 = - 33y3 + 3y2
- 15y4 - 2y3 + 8

Answer 2

We are given

`-3y(5y^3+11y^2-y+8)=-15y^4-33y^3+3y^2-........?........`

Firstly, we will simplify left side

and then we can compare it with right side

Left side:

`-3y(5y^3+11y^2-y+8)`

We can distribute -3y

`=-3y*5y^3+-3y*11y^2--3y*y+-3y*8`

now, we can simplify it

`=-15y^4-33y^3+3y^2-24y`

now, we can compare it with right side

we can see that only last term is missing

so, there should be -24y in last term

so, we get

`-3y(5y^3+11y^2-y+8)=-15y^4-33y^3+3y^2-24y`.................Answer