Question

could someone please help with this multiplying polynomial question for the value of B? it would really help, i'm using all of my points left on this question, i would appreciate any help :)

Answer 1

`A=4a^2\\ \\B=4a^3`

Explanation:

When you multiply two ploynomials using vertical method, you multiply the first polynomial by each term of the second polynomial and write the result of multiplication under the first horizontal line as shown on the diagram.

1. Multiply
`4a^3+3a^2-2a+1` by 3:

`(4a^3+3a^2-2a+1)* 3=12a^3+9a^2-6a+3`

2. Multiply
`4a^3+3a^2-2a+1` by
`-2a:`

`(4a^3+3a^2-2a+1)* (-2a)=-8a^4-6a^3+4a^2-2a`

Hence,
`A=4a^2`

3. Multiply
`4a^3+3a^2-2a+1` by
`a^2:`

`(4a^3+3a^2-2a+1)* a^2=4a^5+3a^4-2a^3+a^2`

Now, add all results:

Hence,
`B=4a^3`