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CHAPTER 10 – POLYNOMIALS AND FACTORING10.2 – Multiplying Polynomials
10.2 – MULTIPLYING POLYNOMIALS
Today we will be learning how to: Multiply 2 polynomials
Use polynomial multiplication to in real life situations
10.2 – MULTIPLYING POLYNOMIALS
In section 2.6 we learned how to multiply a polynomial by a monomial using the distributive property.
(3x)(2x2 – 5x + 3) =
10.2 – MULTIPLYING POLYNOMIALS
When multiplying two binomials, use the FOIL pattern.
First terms
Outer terms
Inner terms
Last terms
10.2 – MULTIPLYING POLYNOMIALS
FOIL Method
10.2 – MULTIPLYING POLYNOMIALS
Example 1 Find the product (x + 8)(x – 7)
10.2 – MULTIPLYING POLYNOMIALS
Example 2 Find the product (2x + 3)(5x + 1)
10.2 – MULTIPLYING POLYNOMIALS
To multiply two polynomials that have three or more terms, remember:
EACH TERM OF ONE POLYNOMIAL MUST BE MULTIPLIED BY EACH TERM OF THE OTHER POLYNOMIAL
Use a vertical or horizontal format
10.2 – MULTIPLYING POLYNOMIALS
Example 3 – vertical Find the product (x – 4)(5x + 9 – 2x2)
10.2 – MULTIPLYING POLYNOMIALS
Example 4 – horizontal Find the product (5x2 – x – 3)(6x – 5)
10.2 – MULTIPLYING POLYNOMIALS
HOMEWORKPage 587
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