# What is an example of factored form?

## What is an example of factored form?

A fully factored form means the given number or polynomial is expressed as a product of the simplest possible form. For example, if we write 12y2−27=3(4y2−9) 12 y 2 − 27 = 3 ( 4 y 2 − 9 ) , then it is not considered as fully factored form as (4y2−9) ( 4 y 2 − 9 ) can be factored further.

What is simplified factored form?

In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them. The two forms of this expression — 5x(2×2 – 3x + 7) and 10×2 – 15×2 + 35x — are equivalent.

### What is standard factored form?

The quadratic expression is called the standard form, the sum of a multiple of and a linear expression ( in this case). When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form.

What does it mean to be in factored form?

Factored form refers to the form of a number or algebraic expression when it has been broken down into a product of its factors.

## How do you factor the expression completely?

To factor an expression, you have to start by factoring out the GCF, or Greatest Common Factor. List the factors of each component of the expression. Here we are interested in finding the natural number factors. The expression x ^2 + 6x + 8 would have factors that look like this: x^ 2: 1 6x: 1, 2, 3,…

standard form: y = x[math]2 + 8x + 15[/math] In order to find the factored form, you need to look at the 8x and the 15, you need to find combination of two number that can be used as terms and factors; and that apply to this standard form. The 8x is the result of a addition and the 15 is the result of a multiplication.

How do you write a polynomial in factored form?

Polynomial Functions In Factored Form. Polynomials are generally written in standard form , such as f(x) = x3 +4 x2 + x 6. A more useful way to write a polynomial function’s equation is to use factored form , such as f(x) = ( x 1)( x +2)( x +3). Each factor corresponds to an x-intercept of the function.