Algebra I Recipe: Multiplying Polynomials
By G Redden
- Change subtraction to adding the opposite when necessary.
- Distribute the monomial to each term of the polynomial.
- Remember to add exponents when multiplying like bases and leave the terms in the order as they come after multiplying.
1.
–4x(-18 – 23y)
2.
–x(2x2 - 3x)
- Use the distributive property – F O I L
- F – the product of the two first terms.
- O – the product of the two outside terms
- I – the product of the two inside terms.
- L – the product of the two last terms.
- Combine like terms.
- Arrange terms in alphabetical or descending order.
3.
(x + 2) (x – 5)
4.
(5x - 6) (3x + 9)
5.
(7x – 4) (2x – 3)
- Write the smaller polynomial first.
- Distribute each term of the smaller polynomial to each term of the larger polynomial.
- Combine like terms.
- Arrange terms in proper order.
6.
(x + 3) (6 - 3x + 2x2)
7.
(2x + 7) (5x2 + 11x - 8)
8.
(3x2 + 7x – 2) (5x2 - 4x + 1)