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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, the **polynomial **is an expression that contains variables with non-negative integers powers, multiplied with constants which are known 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**are the coefficients._{n, }a_{n-1, }a_{0}

## 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`

is the standard form of the quadratic expression. We can also make the factors of the quadratic expression.^{2}+bx+c

## Examples

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

**Example 1:**

Write the expression `2x`

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

**Solution:**

**Step 1:** First, we have to arrange the expressions 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`

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

**Solution:**

**Step 1:** First, we have to arrange the expressions 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