Multiplying Polynomials

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# Multiplying Polynomials - PowerPoint PPT Presentation

Multiplying Polynomials. Monday, March 5, 2014. Remember, to add polynomials, you combine like terms. To subtract polynomials, you add the opposite. So, how do you multiply polynomials???. Performing operations. When multiplying, multiply the constants, then the variables.

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### Multiplying Polynomials

Monday, March 5, 2014

Remember, to add polynomials, you combine like terms.

• To subtract polynomials, you add the opposite.
• So, how do you multiply polynomials???
Performing operations
• Remember to use the laws of exponents (when multiplying you add the exponents).
• Ex:

2x2 * 5x3 = 10x5

How do I multiply monomials?
• Ex:

2x2 (3x3 – 4x2 + x – 5)

6x5 – 8x4 + 2x3 – 10x2

How do I multiply a monomial and a polynomial?

FOIL – multiply first, outside, inside, then last (basically distribute)

• Box it – draw a box, put the numbers in, multiply and add like terms. (Mrs. Leahy hates the box. Several of her students like it.)
How do I multiply a binomial by a binomial?

Ex: (2x2 – 3x + 4) (x4 + 2x3 – 4x – 3)

2x6 + 4x5 – 8x3 – 6x2

– 3x5 – 6x4 + 12x2+9x

+ 4x4 + 8x3 – 16x – 12

2x6 + x5 – 2x4 + 6x2 – 7x – 12

How do I multiply a polynomial by a polynomial?

Time to practice:

• 15 Odd Problems-On Notebook Paper
Classwork

Practice more at home:

• 15 Even Problems-On notebook paper
Homework