Question

How do you write `a^3(a^2+a+1)` in polynomial form?

Answer 1

See a solution process below:

Explanation:

Multiply each term within the parenthesis by the term outside the parenthesis;

`color(red)(a^3)(a^2 + a + 1) =>`

`(color(red)(a^3) xx a^2) + (color(red)(a^3) xx a) + (color(red)(a^3) xx 1) =>`

`a^5 + a^4 + a^3`

If you want to show the entire polynomial it could be:

`a^5 + a^4 + a^3 + 0a^2 + 0a + 0`