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Multiplying Polynomials

Multiplying Polynomials. Thursday, September 12, 2013. 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

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  1. Multiplying Polynomials Thursday, September 12, 2013

  2. Remember, to add polynomials, you combine like terms. • To subtract polynomials, you add the opposite. • So, how do you multiply polynomials??? Performing operations

  3. When multiplying, multiply the constants, then the variables. • Remember to use the laws of exponents (when multiplying you add the exponents). • Ex: 2x2 * 5x3 = 10x5 How do I multiply monomials?

  4. To multiply a monomial and a polynomial, you simply distribute. • Ex: 2x2 (3x3 – 4x2 + x – 5) 6x5 – 8x4 + 2x3 – 10x2 How do I multiply a monomial and a polynomial?

  5. 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?

  6. 1) Distribute 2) Line up your like terms 3) Add 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?

  7. Time to practice: • 20 problem worksheet Classwork

  8. Practice more at home: • 10 problem Worksheet Homework

  9. Do you prefer the FOIL or Box method for multiplying binomials? Why? Exit Ticket

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