Questions: 7+2x^2-4x^3

7+2x^2-4x^3
Transcript text: $7+2 x^{2}-4 x^{3}$
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Solution

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Solution Steps

Step 1: Substitute \( x \)

Substituting \( x = 2 \) into the polynomial expression \( 7 + 2x^2 - 4x^3 \): \[ 7 + 2(2)^2 - 4(2)^3 \]

Step 2: Calculate \( 2(2)^2 \)

Calculating \( 2(2)^2 \): \[ 2(2)^2 = 2 \cdot 4 = 8 \]

Step 3: Calculate \( -4(2)^3 \)

Calculating \( -4(2)^3 \): \[ -4(2)^3 = -4 \cdot 8 = -32 \]

Step 4: Combine the Results

Combining all the results: \[ 7 + 8 - 32 = 15 - 32 = -17 \]

Final Answer

\(\boxed{-17}\)

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