Question

How can you multiply two polynomials ?

Answer 1

Multiply each term in one polynomial by each term in other polynomial
Add those answers together and simplify if needed

Answer 2

Multiplying Polynomials

1. First, multiply each term in one polynomial by each term in the other polynomial using the distributive law.
2. Add the powers of the same variables using the exponent rule.
3. Then, simplify the resulting polynomial by adding or subtracting the like terms.

For example, for two polynomials, (6x−3y) and (2x+5y), write as: (6x−3y)×(2x+5y)

⇒ (6x−3y)×(2x+5y) = [6x × (2x+5y)] − [3y × (2x+5y)]

⇒ [6x × (2x+5y)] − [3y × (2x+5y)] = (12x2+30xy) − (6yx+15y2)

⇒ (12x2+30xy) − (6yx+15y2) = 12x2+24xy−15y2