Question

What is the product of the polynomials below?

(7x2 + 9x + 8)(9x3 + 7x)

Answer 1

\(\Large \color{MidnightBlue}{\Rightarrow 9x^3(7x^2 + 9x + 8) + 7x(7x^2 + 9x + 8) }\)

Answer 2

63x5 + 81x4 - 121x3 + 63x1 + 56x

Answer 3

\(\Large \color{MidnightBlue}{\Rightarrow 63x^5 + 81x^4 + 72x^3 + 49x^3 + 63x^2 + 56x }\)

Operate on the like terms.

Answer 4

63x5 + 153x4 + 112x3 + 56x

Answer 5

Where did that 153x4 come from?

Answer 6

63x6 + 81x4 + 121x3 + 63x2 + 56x