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

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Answer 1 · 2017-08-31T22:49:53

See a solution process below:

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:

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

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