Question

5x^3+9x^2+6x+1 times the polynomial x?

Answer 1

`(5x^(4) + 9x^(3) + 6x^(2)  + 1x)`

Explanation:

`(5x^(3) + 9x^(2) + 6x + 1) * x`

Multiplying the term by x, adds 1 to the power.

EG

`5x^(3) * x = 5x^(3+1) = 5x^(4)`

Therefore

`(5x^(3) + 9x^(2) + 6x + 1) * =\\(5x^(4) + 9x^(3) + 6x^(2)  + 1x)`