Checkpoint: Writing Perfect Square Trinomials Solutions

Solve for the value that will make the expression a perfect square trinomial.

$a = 1, c = 64 b = 2 \sqrt{a c} b = 2 \sqrt{(1) (64)} b = 2 \sqrt{64} = 2 (8) b = 16$

$a = 1, b = \frac{3}{2} c = {(\frac{b}{2})}^{2} c = {(\frac{3}{2 \cdot 2})}^{2} = {(\frac{3}{4})}^{2} c = \frac{9}{16}$

Note

Q: How can you determine if the value forms a perfect trinomial square?

A: Substitute the value and factor. If the factored answer can be written as a binomial square, the answer is correct.