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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. When multiplying, multiply the constants, then the variables.

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multiplying polynomials

Multiplying Polynomials

Monday, March 5, 2014

performing operations

Remember, to add polynomials, you combine like terms.

  • To subtract polynomials, you add the opposite.
  • So, how do you multiply polynomials???
Performing operations
how do i multiply monomials

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?
how do i multiply a monomial and a polynomial

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?
how do i multiply a binomial by a binomial

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?
how do i multiply a polynomial by a polynomial

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?
classwork

Time to practice:

  • 15 Odd Problems-On Notebook Paper
Classwork
homework

Practice more at home:

  • 15 Even Problems-On notebook paper
Homework
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