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Chapter 11: Q5. (page 727)

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The excluded values forxx2+5x+6 are -2 and -3.

Short Answer

Expert verified

The given statement is True.

Step by step solution

01

Step 1. State the concept.

A rational expression is an algebraic expression whose numerator and denominator are polynomials. Also, division by 0 is undefined, so therefore, the polynomials in the denominator cannot be zero and the values for which the denominator is zero is termed as excluded values for the respective rational expression.

02

Step 2. Explanation of the statement.

Factor the denominator in xx2+5x+6, to find out the excluded values.

role="math" localid="1648033877761" x2+5x+6=0x2+3x+2x+6=0x+3x+2=0x=鈭�3,鈭�2

03

Step 3. Write whether the statement is true or false.

Since, x=鈭�3,鈭�2, therefore, given statement is 鈥淭he excluded values forxx2+5x+6are -2 and -3.鈥� is true.

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Most popular questions from this chapter

Simplify the given expression. State the excluded values of the variables.

3x鈭�15x2鈭�25

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3x鈭�6x2鈭�9鈰�x+3x2鈭�2x

Factor each polynomial.

6xy+15x

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The rational functiony=2x鈭�1+3has a horizontal asymptote aty=3炉.

Find each quotient.

x3+7x2+10x鈭�6梅x+3
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