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Chapter 7: Q23. (page 398)

Solve each equation.

5(t2鈭�3t+2)=t(5t鈭�2)

Short Answer

Expert verified

The solution of the equation ist=1013

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.

5t2鈭�3t+2=t5t鈭�25t2鈭�53t+52=t5t鈭�t2

03

Step 3. Simplify for t.

Further, simplify the expression for t.

5t2鈭�15t+10=5t2鈭�2t5t2鈭�5t2+10=鈭�2t+15t0+10=13tt=1013

Therefore,t=1013

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Most popular questions from this chapter

Find each sum or difference.

x+5+x2鈭�3x+7

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

x2+1

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

Explain your reasoning.

122

Simplify the expression

5x2y22xy3z34xyz

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

4t5+3t2+t
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