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Chapter 6: Problem 26

Evaluate the algebraic expression for the given value or values of the variables. \(3 x^{2}-4 x-9 ; \quad x=-5\)

Short Answer

Expert verified
The evaluated result for the given algebraic expression is 86.

Step by step solution

01

Substitute the given value for x

First, let's substitute the value of \(x\) given by \(x=-5\) into the equation,\(3 x^{2}-4 x-9\). The equation becomes \(3(-5)^2 -4(-5) - 9\).
02

Squaring the number

According to order of operation, we do the exponentiation first. Squaring -5 gives 25 and the equation becomes \(3(25) -4(-5)- 9 = 75 +20 -9 \).
03

Finish the Calculation

Now, perform the addition and subtraction from left to right. Therefore, we get \(75 +20 -9 = 86\).

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