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Chapter 6: Problem 28

Evaluate the algebraic expression for the given value or values of the variables. \(-6 x^{2}-11 x-17 ; \quad x=-2\)

Short Answer

Expert verified
-19

Step by step solution

01

Substitution

Replace \(x\) in the original expression \(-6 x^{2}-11 x-17\) with the value \(-2\). This gives \(-6(-2)^{2}-11(-2)-17\)
02

Evaluate Powers

Using BIDMAS/BODMAS/PEDMAS, the first operation to perform here is to find the power of \(-2\). This gives \(-6(4)-11(-2)-17\)
03

Perform Multiplication

Next, we have to perform the multiplication operations. This results in \(-24+22-17\)
04

Perform Addition and Subtraction

Lastly, perform the addition and subtraction operations from left to right. This results in \(-19\)

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