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# Polynomial Standard Form Calculator

To use polynomial standard form calculator, enter the polynomial function and hit the calculate button.

## Polynomial Standard Form Calculator

Polynomial standard form calculator simplifies the polynomial functions into the simplest form.

## What is the polynomial?

In algebra, polynomial is an expression that contains variables with non-negative integers powers, multiply with constants which are knowns as coefficients. The polynomial of degree n is written as

**P(x) = a _{n}x^{n}+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+…+ a_{0}**

Where,

- P(x) represents the polynomial with variable x.
- a
_{n, }a_{n-1, }a_{0}are the coefficients.

## What is a polynomial standard form?

Polynomial standard form is the technique that writes the polynomial in descending order according to the power of the variable. We have just written the non-zero polynomial in the expression. The expression is always in the simplest form.

## Quadratic Expression:

The expression whose maximum degree of the polynomial is two is called a quadratic expression. ax^{2}+bx+c is the standard form of the quadratic expression. We can also make the factors of the quadratic expression.

## Examples

We have discussed some examples of polynomial expressions and change to the standard form.

**Example 1:**

Write the expression 2x^{2}+4-2x in the standard form.

**Solution:**

**Step 1:** First, we have to arrange the expression in descending order.

2x^{2}-2x+4

**Step 2: **Take the common from the expression

2[x^{2}-x+2]**Step 3:** Make the factorization of the quadratic expression

2[x^{2}-2x+x+2]

**Step 4: **Take the common

2[x(x-2) +1(x+2)]

2(x-2) (x+1)

**Example 2:**

Write the expression y^{9}-2y^{3}-8y^{9}+2y-6+12y^{2} in the standard form.

**Solution:**

**Step 1:** First, we have to arrange the expression in descending order.

y^{9}-8y^{9}-2y^{3}+12y^{2}+2y-6

**Step 2: **Simplify the expression

-7y^{9}-2y^{3}+12y^{2}+2y-6