Questions: Evaluate the given expression at (x=-3) (4 x^2-3 x-5)

Evaluate the given expression at (x=-3) (4 x^2-3 x-5)
Transcript text: Evaluate the given expression at $x=-3$ $4 x^{2}-3 x-5$
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Solution

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Solution Steps

To evaluate the expression \(4x^2 - 3x - 5\) at \(x = -3\), substitute \(-3\) for \(x\) in the expression and compute the result.

Step 1: Substitute \(x = -3\) into the Expression

To evaluate the expression \(4x^2 - 3x - 5\) at \(x = -3\), substitute \(-3\) for \(x\): \[ 4(-3)^2 - 3(-3) - 5 \]

Step 2: Calculate Each Term

First, calculate \((-3)^2\): \[ (-3)^2 = 9 \] Then, calculate \(4 \times 9\): \[ 4 \times 9 = 36 \] Next, calculate \(-3 \times (-3)\): \[ -3 \times (-3) = 9 \]

Step 3: Combine the Results

Substitute the calculated values back into the expression: \[ 36 + 9 - 5 \]

Step 4: Simplify the Expression

Add and subtract the terms: \[ 36 + 9 = 45 \] \[ 45 - 5 = 40 \]

Final Answer

The value of the expression at \(x = -3\) is \(\boxed{40}\).

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