Easy Algebra Step-by-Step

132 Easy Algebra Step-by-Step Solution a. 4 x^2 − 11 x− 3 Step 1. Identify the coeffi cients a, b, and c and then fi nd two fact ...

Factoring Polynomials 133 Step 4. Factor the common factor 3x out of the fi rst term and the common factor 2 out of the second t ...

134 Easy Algebra Step-by-Step b. x^2 + 6 x+ 9 Step 1. Identify the coeffi cients a, b, and c and check whether bac. a= 1, b= 6, ...

Factoring Polynomials 135 c. x^2 + 4 d. 8 x^3 − 27 e. 64 a^3 + 125 Solution a. 9 x^2 − 25 y^2 Step 1. Observe that the binomial ...

136 Easy Algebra Step-by-Step d. 8 x^3 − 27 Step 1. Observe that the binomial has the form “quantity cubed minus quantity cubed, ...

Factoring Polynomials 137 Guidelines for Factoring Finally, here are some general guidelines for factoring of polynomials. Coun ...

138 Easy Algebra Step-by-Step Exercise 12 In 1–5, indicate whether the statement is true or false. 64 += 2525 13 (x + 3)^2 = x^ ...

139 13 Rational Expressions In this chapter, you apply your skills in factoring polynomials to the charge of simplifying rationa ...

140 Easy Algebra Step-by-Step Problem Reduce to lowest terms. a. 15 30 53 53 xy^5 z xy^5 b.^6 2 x x c. x x − − 3 3 d.^3 3 x +x e ...

Rational Expressions 141 b.^6 2 x x Step 1. Determine the GCF for 6x and 2x. GCF = 2 x Step 2. Write the numerator and denominat ...

142 Easy Algebra Step-by-Step 3 31 x x x ≠ +x. 3 is a factor of the numerator, but it is a term of the denominator. It is a mist ...

Rational Expressions 143 Step 4. Use the fundamental principle to reduce the fraction. x x ()()xx+ ()x ()()xx+ ()x = − + )(x− )( ...

144 Easy Algebra Step-by-Step Solution a. xx x x x 2 2 21 x 4 36 x -^1 ⋅ − Step 1. Factor all numerators and denominators comple ...

Rational Expressions 145 Step 2. Divide out common numerator and denominator factors. = ()() − ()() ⋅ ()()+ ()() ()()+ ()() (^2) ...

146 Easy Algebra Step-by-Step Step 3. Divide out common numerator and denominator factors. = ()()() ()()() ⋅ ()()+ ()() ()()()() ...

Rational Expressions 147 = ()+ ()− − + ) ( x ))++( 3 Step 2. Find the sum of the numerators. = + − − xx+ x 22 ++ 11 3 = − 39 − 3 ...

148 Easy Algebra Step-by-Step Step 4. Review the main results. 5 4 41 4 541 4 1 4 x^224 x xx^2244 x^2 x^1 ()x^1 − ()x^1 = 4 x − ...

Rational Expressions 149 Step 3. Write each algebraic fraction as an equivalent fraction having the common denominator as a deno ...

150 Easy Algebra Step-by-Step Step 3. Write each algebraic fraction as an equivalent fraction having the common denominator as a ...

Rational Expressions 151 Complex Fractions A complex fraction is a fraction that has fractions in its numerator, denomi- nator, ...