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Chapter 6: Problem 25

Evaluate the algebraic expression for the given value or values of the variables. \(2 x^{2}-5 x-6 ; \quad x=-3\)

Short Answer

Expert verified
After evaluating the expression by substituting \(x = -3\), the result is 27.

Step by step solution

01

Identify the algebraic expression and value of the variable

The given algebraic expression is \(2 x^{2}-5 x-6\) and the value of the variable \(x\) given is -3.
02

Substitute the value of the variable into the algebraic expression

Place \(x = -3\) into the original algebraic expression. It becomes \(2(-3)^{2} - 5(-3) - 6\).
03

Simplify according to the order of operations

Using the order of operations, perform the exponent calculation first, then the multiplications and divisions (from left to right), followed by the additions and subtractions (from left to right). So, the expression becomes \(2(9) + 15-6 =18 +15 - 6 = 27\).

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Most popular questions from this chapter

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(4 x^{2}+16 x+15\)

Use FOIL to find the products. \((2 x-1)(x+2)\)

Use FOIL to find the products. \((x-5)(x+3)\)

Use FOIL to find the products. \((x-1)(x+2)\)

Factor the trinomials in Exercises 9-32, or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+5 x+6\)
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