Explanation Properties used: Zero-Product Property: If the product of two factors is zero, then at least one of the factors is 0. That is, if a b = 0 , then a = 0 or b = 0 , or both a and b are 0. FOIL method to multiply binomials: ( a x + b ) ( c x + d ) = a x ⋅ c x + a x ⋅ d + b ⋅ c x + b ⋅ d . In words, the product of two binomials is product of the first terms in each binomial plus product of outside terms plus the product of the inside terms plus the product of last terms. Method used: Solving a quadratic equation by factoring: Step 1: Write the quadratic equation in standard form, a x 2 + b x + c = 0 . Step 2: Factor the polynomial. Step 3: Set each factor found in step 2 equal to zero using the Zero-Product property. Step 4: Solve each first-degree equation for the variable. Step 5: Check your answer by substituting the values of the variable into the original equation. Calculation: Consider the equation z 2 + 20 = − 9 z . Write the equation in the standard form as follows. z 2 + 20 = − 9 z z 2 + 9 z + 20 = 0 Factor the expression on the left side of the equation as follows. z 2 + 9 z + 20 = 0 ( z + 5 ) ( z + 4 ) = 0 Set each factor equal to 0. z + 5 = 0 or z + 4 = 0 Solve each first-degree equation as follows. z = − 5 or z = − 4 So, the solutions are − 5 and − 4

Elementary & Intermediate Algebra with Access Code

3rd Edition

ISBN: 9780321915139

Author: Michael III Sullivan

Publisher: PEARSON

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Chapter 6.6, Problem 11E

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Elementary & Intermediate Algebra with Access Code

Ch. 6.1 - The largest polynomial that divides evenly into a...Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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The equation z 2 + 20 = − 9 z by using Zero-Product property.

Solution Summary: The author explains how to solve the equation z2+20=-9z by using the Zero-Product property.

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To solve: The equation z2+20=−9z by using Zero-Product property.

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Chapter 6 Solutions