# What is the correct description for the polynomial? (x²+7x+10)

## difference of two squares, general trinomial, perfect square trinomial, prime

Jun 19, 2018

Its a general trinomial

#### Explanation:

A trinomial is an equation that has three terms connected with symbols, an example is;

$a {x}^{2} + b x + c \mathmr{and} a {x}^{2} + b x - c$

Which satisfy the given equation;

${x}^{2} + 7 x + 10$

Jun 19, 2018

$\left({x}^{2} + 7 x + 10\right)$ is a general trinomial

#### Explanation:

$\left({x}^{2} + 7 x + 10\right)$

$\textcolor{w h i t e}{\text{XXX}}$is not in the form $\left({x}^{2} - {a}^{2}\right)$;
$\textcolor{w h i t e}{\text{XXX}}$therefore it is not the difference of two squares.

$\textcolor{w h i t e}{\text{XXX}}$it is a polynomial with 3 terms;
$\textcolor{w h i t e}{\text{XXX}}$therefore it is a general trinomial.

$\textcolor{w h i t e}{\text{XXX}}$it is not in the form $\left({x}^{2} + 2 a x + {a}^{2}\right) = {\left(x + a\right)}^{2}$;
$\textcolor{w h i t e}{\text{XXX}}$thereore it is not a perfect square trinomial.

$\textcolor{w h i t e}{\text{XXX}}$can be factored as $\left(x + 2\right) \left(x + 5\right)$;
$\textcolor{w h i t e}{\text{XXX}}$therefore it is not prime.