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Chapter 7: Q24. (page 463)

Solve each equation.

3x(x+2)=3(x2鈭�2)

Short Answer

Expert verified

The solution of the equation isx=鈭�1.

Step by step solution

01

Step 1. State the concept of multiplying a polynomial by a monomial.

To find the product of a polynomial and a monomial use the distributive property. The distributive property is given by:

ab+c=a脳b+a脳ca+bc=a脳c+b脳c

02

Step 2. Apply the distributive property.

First, simplify both sides of the equation by applying the distributive property.

3xx+2=3x2鈭�23xx+3x2=3x2鈭�32

03

Step 3. Simplify for x.

Further, simplify the expression for x.

3x2+6x=3x2鈭�63x2鈭�3x2+6x=鈭�60+6x=鈭�6x=鈭�66x=鈭�1

Therefore,x=鈭�1.

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Most popular questions from this chapter

Choose a term from the Key Vocabulary list above that best describes the given expression.

7xy4

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

鈭�2g4h

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

7b+9

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

3a4

Simplify the expression

鈭�4rx2t3鈭�6r5x2t
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