Questions: Consider the function: h(x) = 5x^3 + 5x^2 + 4x + 3 Find the value of h(5).

Consider the function: h(x) = 5x^3 + 5x^2 + 4x + 3 Find the value of h(5).
Transcript text: Consider the function: \[ h(x)=5 x^{3}+5 x^{2}+4 x+3 \] Step 2 of 2 : Find the value of $h(5)$. Answer How to enter your answer (opens in new window)
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Solution

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Solution Steps

Step 1: Substitute \( x = 5 \) into the function \( h(x) \)

Given the function: \[ h(x) = 5x^3 + 5x^2 + 4x + 3 \] we substitute \( x = 5 \) into the function.

Step 2: Calculate each term

Calculate each term separately: \[ 5(5)^3 = 5 \cdot 125 = 625 \] \[ 5(5)^2 = 5 \cdot 25 = 125 \] \[ 4(5) = 20 \] \[ 3 = 3 \]

Step 3: Sum the results

Sum the results of each term: \[ 625 + 125 + 20 + 3 = 773 \]

Final Answer

\(\boxed{773}\)

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