# How do you factor a perfect square trinomial?

## How do you factor a perfect square trinomial?

In the case of a perfect square, the middle term is the first term multiplied by the last term, and then multiplied by 2. In other words, the perfect square trinomial formula is: a 2 ± a b + b 2 a^{2} \pm ab + b^{2} a2±ab+b2.

How do you find the factor of a perfect square?

In a perfect square, the count of distinct prime factors must be divisible by 2. Therefore, the count of factors that are a perfect square is given by: Factors of N that are perfect square = (1 + a1/2)*(1 + a2/2)*… *(1 + an/2) where a1, a2, a3, …, an are the count of distinct prime factors of N.

Is 4 a perfect square?

4 is a perfect square. A perfect square is a value that has a whole number square root. The square root of 4 is 2, so its square root is a whole number, which means the four is a perfect square. Another example of a perfect square is 9.

### What’s the factor of 15?

Factors of 15 by Prime Factorization The factors of 15 are 1, 3, 5, and 15.

Is 4a2 a perfect square?

Is the first term a perfect square? Yes, 4a2 = (2a) 2 . 2.

How do you find the greatest perfect square factors?

To find the greatest perfect square, we must first prime factor the number and then we can look into all the factors of the number and find the greatest perfect square. Among all the factors of 117, just 9 is a perfect square. So, the greatest perfect square that is a factor of 117 is 9.

#### What properties define a perfect square trinomial?

A trinomial is a perfect trinomial if the first and last terms are positive, perfect squares and the middle term is twice the product of their square roots . Let us now look at some examples of how we can use the properties of perfect trinomials to identify and factor them.

Is polynomial a perfect square?

Perfect Square Formula. When a polynomial is multiplied by itself, then it is a perfect square. Example – this polynomial ax2 + bx + c; if b2 = 4ac is a perfect square.

Is two a perfect square?

A: No, the number 2 is not a perfect square. A perfect square is a number that can be expressed as the product of two equal integers. The only way to accurately calculate if a number is a perfect square is to find the factors.