Easy Algebra Step-by-Step

96 Easy Algebra Step-by-Step

Step 2. Multiply the variable factors.

()x^3 ()x^2 =x^5

Step 3. Use the product in step 1 as the coeffi cient of x^5.

()− ))()(( )=−^40 x^5

e. ()^25 y )(()y^3 )()( y

Step 1. Multiply the numerical coeffi cients.

() 4 () 222 () 3 = 24

Step 2. Multiply the variable factors.

()x^2 y^5 ()xy^3 ()xy =x^4 y^9

Step 3. Use the product in step 1 as the coeffi cient of xy^49.

()^4 xy^25 ()^2 xy^3 ()−^33 xy^2244 xy^49

f. ()()

Step 1. Multiply the numerical coeffi cients.

() 1 () 2 = 2

Step 2. Multiply the variable factors.

There is only one variable factor, x.

Step 3. Use the product in step 1 as the coeffi cient of x.

()x()) 2 x

Multiplying Polynomials by Monomials

Multiplying a Polynomial by a Monomial

To multiply a polynomial by a monomial, multiply each term of the polyno-

mial by the monomial.

This rule is a direct application of the distributive property for real

numbers.

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