Easy Algebra Step-by-Step

92 Easy Algebra Step-by-Step Subtraction of Polynomials To subtract two polynomials, add the opposite of the second polynomial. ...

Adding and Subtracting Polynomials 93 Step 2. Systematically combine matching like terms and indicate addition or subtraction of ...

94 9 Multiplying Polynomials This chapter presents rules for multiplying polynomials. You use the properties of real numbers and ...

Multiplying Polynomials 95 Solution a. ()^53 y )()(^26 y Step 1. Multiply the numerical coeffi cients. ()^5 ()^3 =^15 Step 2. Mu ...

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 co ...

Multiplying Polynomials 97 Problem Find the product. a. 2 () 5 b. x()xx c. − 8 ab^353 () 2 aa^22222 − 777 − 3 d. x^24 ()xxx^4444 ...

98 Easy Algebra Step-by-Step Multiplying Binomials Multiplying Two Binomials To multiply two binomials, multiply all the terms o ...

Multiplying Polynomials 99 The FOIL Method From the last problem, you can see that to fi nd the product of two binomi- als, you ...

100 Easy Algebra Step-by-Step b.()))))(((()( Step 1. Find the partial products using the acronym FOIL. ()x )()(xx− =xx⋅ − xx⋅ ⋅ ...

Multiplying Polynomials 101 Step 4. State the main result. ()xy+ =()xyx+ ()xy+ =+xxxyy+ (^222) 2 + Multiplying Polynomials Mul ...

102 Easy Algebra Step-by-Step c. ()))))(((()(^2 Step 1. Multiply all the terms of the second polynomial by each term of the fi r ...

Multiplying Polynomials 103 Exercise 9 Find the product. ()^53 y )()(^23 y ()^434 )()( b^2 ()^32 ))))(((()( ()^25 y )))(((()y^4 ...

104 10 Simplifying Polynomial Expressions In this chapter, you apply your skills in multiplying polynomials to the pro- cess of ...

Simplifying Polynomial Expressions 105 Solution a. 522 ()− 5 Step 1. Check whether the expression meets the criteria for a polyn ...

106 Easy Algebra Step-by-Step f. 24 xx^2 [( 35 x 555 xx− 4 )] Step 1. Check whether the expression meets the criteria for a poly ...

Simplifying Polynomial Expressions 107 Step 2. Simplify the result. = 25 a− Step 3. Review the main steps. 522 ()−− 55 ) 5555 ++ ...

108 Easy Algebra Step-by-Step Step 2. Do multiplication: () 21 x (^1) () 343 x. = 61 xx^2 − 1114 + +xx^2 − 21 x+ Step 3. Simplif ...

Simplifying Polynomial Expressions 109 Step 2. Do multiplication: (^2) ()xx^2 + 212 xx = 24 xx^2 ++ 4 + 2 Step 3. Review the mai ...

110 11 Dividing Polynomials This chapter presents a discussion of division of polynomials. Division of polynomials is analogous ...

Dividing Polynomials 111 To avoid sign errors when you are doing divi- sion of polynomials, keep a − symbol with the number that ...