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

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

Solution

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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