Determine if the Expression is a Perfect Square

$x^{2} - 20 x + 10$

Step 1

A trinomial can be a perfect square if it satisfies the following:

The first term is a perfect square.

The third term is a perfect square.

The middle term is either $2$ or $- 2$ times the product of the square root of the first term and the square root of the third term.

${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$

Step 2

The polynomial does not satisfy all qualifiers for being a perfect square.

The polynomial is not a perfect square

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Polynomial and Rational Functions

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$