Question

What polynomial has quotient
x^2 + 6x − 2 when divided by x + 3?

Answer 1

`x^3+9x^2+16x-6`

Explanation:

When you learned to divide numbers, you said that 10 divided by 2 has quotient 5 since 5 times 2 was 10.

Same difference, let's multiply the two polynomials:

`(x^2+6x-2)(x+3) = x^3+9x^2+16x-6`.

that assuming that you want no remainder. If you care about the remainder, just change the constant term with anything you want. the distance from
`-6` will be your remainder.