Questions: Evaluate 8x^2+2x+5, when x=7.

Evaluate 8x^2+2x+5, when x=7.
Transcript text: Evaluate $8 x^{2}+2 x+5$, when $x=7$.
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Solution

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Solution Steps

To evaluate the expression \(8x^2 + 2x + 5\) when \(x = 7\), substitute 7 for \(x\) in the expression and compute the result.

Step 1: Substitute \(x = 7\) into the Expression

To evaluate the expression \(8x^2 + 2x + 5\) at \(x = 7\), substitute 7 for \(x\):

\[ 8(7)^2 + 2(7) + 5 \]

Step 2: Calculate Each Term

Calculate each term separately:

  1. \(8(7)^2 = 8 \times 49 = 392\)
  2. \(2(7) = 14\)
  3. The constant term is \(5\).
Step 3: Sum the Terms

Add the results from each term:

\[ 392 + 14 + 5 = 411 \]

Final Answer

The value of the expression when \(x = 7\) is \(\boxed{411}\).

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