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 4x23x54x^2 - 3x - 5 at x=3x = -3, substitute 3-3 for xx in the expression and compute the result.

Step 1: Substitute x=3x = -3 into the Expression

To evaluate the expression 4x23x54x^2 - 3x - 5 at x=3x = -3, substitute 3-3 for xx: 4(3)23(3)5 4(-3)^2 - 3(-3) - 5

Step 2: Calculate Each Term

First, calculate (3)2(-3)^2: (3)2=9 (-3)^2 = 9 Then, calculate 4×94 \times 9: 4×9=36 4 \times 9 = 36 Next, calculate 3×(3)-3 \times (-3): 3×(3)=9 -3 \times (-3) = 9

Step 3: Combine the Results

Substitute the calculated values back into the expression: 36+95 36 + 9 - 5

Step 4: Simplify the Expression

Add and subtract the terms: 36+9=45 36 + 9 = 45 455=40 45 - 5 = 40

Final Answer

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

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