Question

Multiply the polynomial 3x
2
+2x+2−x by the monomial −3x.

Answer 1

To multiply the polynomial 3x^2 + x + 2 by the monomial -3x, distribute -3x to each term to get -9x^3 - 3x^2 - 6x.

Step-by-step explanation:

To multiply the polynomial 3x2 + 2x + 2 - x by the monomial -3x, we need to distribute the monomial to each term of the polynomial.

First, we simplify the polynomial: 3x2 + 2x + 2 - x becomes 3x2 + x + 2 because 2x - x equals x.

Now, we multiply each term of the simplified polynomial by -3x:

• -3x * 3x2 = -9x3
• -3x * x = -3x2
• -3x * 2 = -6x

Combine these results to get the final expression: -9x3 - 3x2 - 6x.