Polynomial Standard Form Calculator

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) = anxn+ an-1xn-1+ an-2xn-2+…+ a0

Where,

• P(x) represents the polynomial with variable x.
• a_n, a_n-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.

Quadratic Expression:

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 changes 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 expressions 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 expressions in descending order.

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

Step 2: Simplify the expression

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