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

Question

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

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Answer 1 · 2018-06-19T11:20:34

Its a general trinomial

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

$ax^2 + bx + c or ax^2 + bx - c$

Which satisfy the given equation;

$x^2 + 7x + 10$

Answer 2 · 2018-06-19T11:38:23

$(x^2+7x+10)$ is a general trinomial

$(x^2+7x+10)$

$color(white)("XXX")$ is not in the form $(x^2-a^2)$ ;
$color(white)("XXX")$ therefore it is not the difference of two squares.

$color(white)("XXX")$ it is a polynomial with 3 terms;
$color(white)("XXX")$ therefore it is a general trinomial.

$color(white)("XXX")$ it is not in the form $(x^2+2ax+a^2)=(x+a)^2$ ;
$color(white)("XXX")$ thereore it is not a perfect square trinomial.

$color(white)("XXX")$ can be factored as $(x+2)(x+5)$ ;
$color(white)("XXX")$ therefore it is not prime.