Question

1. Multiply the following polynomials and write the degree of the product.

(5m³-2) x (2m²-3m+6)

Answer 1

To multiply the polynomials, we use the distributive property and combine like terms. The degree of the product is determined by the highest degree term.

Step-by-step explanation:

To multiply the polynomials (5m³-2) and (2m²-3m+6), we use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial:

(5m³-2) x (2m²-3m+6) = 5m³ x 2m² + 5m³ x (-3m) + 5m³ x 6 -2 x 2m² - 2 x (-3m) - 2 x 6

Simplifying this expression:

= 10m^5 - 15m^4 + 30m^3 - 4m² + 6m - 12

The degree of the product is the highest degree term, which is 5.

Learn more about Multiplying polynomials