Question

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

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

Answer 1

Its a general trinomial

Explanation:

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

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

Explanation:

`(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.