Questions: Evaluate the expression when x=-6. x^2 + 5x - 2

Transcript text: Evaluate the expression when $x=-6$. \[ x^{2}+5 x-2 \]

Solution

Step 1: Substitute the given value of $x$ into the polynomial expression.

The polynomial expression is: \[ x^2 + 5x - 2 \]

Step 2: Follow the order of operations

Substituting $x = -6$ into the polynomial, we get: \[ (1)(-6^2) + (5)(-6) + (-2)(-6^0) \]

Step 3: Compute the result

Computing the powers, multiplication, and addition, we get: \[ 36 - 30 - 2 \]

The value of the polynomial for $x = -6$ is approximately 4.

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