 # Polynomial Standard Form Calculator

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

This will be calculated:

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## 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) = anxn+ an-1xn-1+ an-2xn-2+…+ a0

Where,

• P(x) represents the polynomial with variable x.
• an, an-1, a0 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.

The expression whose maximum degree of the polynomial is two is called a quadratic expression. ax2+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 2x2+4-2x in the standard form.

Solution:

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

2x2-2x+4

Step 2: Take the common from the expression

2[x2-x+2]
Step 3: Make the factorization of the quadratic expression

2[x2-2x+x+2]

Step 4: Take the common

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

2(x-2) (x+1)

Example 2:

Write the expression y9-2y3-8y9+2y-6+12y2 in the standard form.

Solution:

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

y9-8y9-2y3+12y2+2y-6

Step 2: Simplify the expression

-7y9-2y3+12y2+2y-6

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