# What are the factors of a perfect square trinomial?

## What are the factors of a perfect square trinomial?

Factoring perfect square trinomials: ( a + b ) 2 = a 2 + 2 a b + b 2 (a + b)^2 = a^2 + 2ab + b^2 (a+b)2=a2+2ab+b2 or ( a − b ) 2 = a 2 − 2 a b + b 2 (a – b)^2 = a^2 – 2ab + b^2 (a−b)2=a2−2ab+b2 – Factoring Polynomials.

### How do you know if a trinomial is a perfect square trinomial?

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. (This is the part where you are moving the other way). In a perfect square trinomial, two of your terms will be perfect squares.

#### What is the perfect square trinomial?

A perfect square trinomial is a trinomial that can be written as the square of a binomial. Recall that when a binomial is squared, the result is the square of the first term added to twice the product of the two terms and the square of the last term.

Is 24 a perfect square trinomial?

It isn’t a perfect square trinomial. If it were then you would expect that the leading coefficient 24 would be square, which it isn’t. So 24a2+26a+9 has no linear factors with real coefficients.

Why is 18 not polynomial?

In general parlance, no, 18 is not a polynomial. But in the context of polynomials, you can indeed say that 18 is a polynomial of degree 0, with only a constant coefficient.

## What is a perfect square trinomial example?

A perfect square trinomial is an algebraic expression that is of the form ax2 + bx + c, which has three terms. For example, x2 + 6x + 9 is a perfect square polynomial obtained by multiplying the binomial (x + 3) by itself. In other words, (x +3) (x + 3) = x2 + 6x + 9.

### What is square of Binomials?

The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term. If you can remember this formula, it you will be able to evaluate polynomial squares without having to use the FOIL method.