Multiplying Polynomial1

Multiplying Polynomial1 - 1. Multiply the numerical...

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Multiplying Polynomials The following are rules regarding the multiplying of variable expressions. •    Rule 1:  To multiply monomials with the same base, keep the base and add the powers:  x a x b   x   a  +  b   •    Rule 2:  To raise a base to a power, keep the base and multiply the powers.  x a   b   x ab   •    Rule 3:  To raise a product to a power, raise each factor in the product to that power.  xy a   x a y a   Example 1 Simplify each of the following multiplication problems and state which of the preceding rules was  applied. 1. yy 5   2. x 4 ) 3   3. (–2  x 4   y 2   z 3 ) 5   4. a 3 a 2   b 3 ) 4   1. 2. 3. 4.
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To multiply monomials together, follow this procedure.
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Unformatted text preview: 1. Multiply the numerical coefficients together. 2. Multiply the variables together. 3. Write the results as a product. Example 2 Simplify each of the following. 1. (4 x 2 )(3 x 3 ) 2. (8 a 3 b 2 )(2 a 2 b 2 ) 3 1. (4 x 2 )(3 x 3 ) = (4 3)( x 2 x 3 ) = 12 x 5 2. (8 a 3 b 2 )(2 a 2 b 2 ) 3 = (8 a 3 b 2 )(8 a 6 b 6 ) = 64 a 9 b 8 To multiply polynomials together, multiply each term in one polynomial by each term in the other polynomial. Then simplify if possible....
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Multiplying Polynomial1 - 1. Multiply the numerical...

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