Evaluate 4x2 - 2x + 1 when x = 2.

1 answer

To evaluate the expression \( 4x^2 - 2x + 1 \) when \( x = 2 \), we will substitute \( 2 \) for \( x \) in the expression.

  1. Substitute \( x \) with \( 2 \):

\[ 4(2)^2 - 2(2) + 1 \]

  1. Calculate \( (2)^2 \):

\[ (2)^2 = 4 \]

  1. Now substitute back:

\[ 4(4) - 2(2) + 1 \]

  1. Perform the multiplication:

\[ 16 - 4 + 1 \]

  1. Now, calculate \( 16 - 4 + 1 \):

\[ 16 - 4 = 12 \] \[ 12 + 1 = 13 \]

Thus, the value of \( 4x^2 - 2x + 1 \) when \( x = 2 \) is \( \boxed{13} \).