Find polynomial with given zeros and leading coefficient calculator

The term in the polynomials with the highest degree is called a leading term of a polynomial and its respective coefficient is known as the leading coefficient of a polynomial. The highest degree of individual terms in the polynomial equation with non-zero coefficients is called the degree of a polynomial.

Steps to Find the Leading Term & Leading Coefficient of a Polynomial

Here are the few steps that you should follow to calculate the leading term & coefficient of a polynomial:

• Find the highest power of x to determine the degree.
• Identify the term containing the highest power of x to find the leading term.
• Identify the coefficient of the leading term.

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1. How do you calculate the leading term of a polynomial?

The term with the largest degree is known as the leading term of a polynomial. As it is written at first. You can calculate the leading term value by finding the highest degree of the variable occurs in the given polynomial.

2. What is the Leading Coefficient of a polynomial?

The leading coefficient of a polynomial is the coefficient of the leading term.

3. How to find polynomial leading terms using a calculator?

Finding the leading term of a polynomial is simple & easy to perform by using our free online leading term of a polynomial calculator. Simply provide the input expression and get the output in no time along with detailed solution steps.

4. Which is the best website to offer the leading term of a polynomial calculator?

Onlinecalculator.guru is a trustworthy & reliable website that offers polynomial calculators like a leading term of a polynomial calculator, addition, subtraction polynomial tools, etc. to help users find their result in just fraction of seconds along with an elaborate solution.

Step 1

The degree of a polynomial is the highest degree of its terms.

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

The largest exponent is the degree of the polynomial.

Step 2

The leading term in a polynomial is the term with the highest degree.

Step 3

The leading coefficient of a polynomial is the coefficient of the leading term.

The leading term in a polynomial is the term with the highest degree.

The leading coefficient in a polynomial is the coefficient of the leading term.

Step 4

List the results.

Polynomial Degree:

Leading Term:

Leading Coefficient:

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The polynomial generator generates a polynomial from the roots introduced in the Roots field.

Input the roots here, separated by comma

Roots =         

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This Calculator computes the degree, leading coefficient and leading term of a given Polynomial.

How to use this calculator?

What are the leading term, leading coefficient and degree of a polynomial ?

• The leading term is the polynomial term with the highest degree.
• The degree of a polynomial is the degree of its leading term.
• The leading coefficient is the coefficient of the leading term.

So we can write,

`\text{Leading term} = \text{Leading coefficient}^\text{Degree}`

Usually, the leading term of the polynomial is written first. So, the general expression of a polynomial is,

`P(x) = a_n*x^n + a_(n-1)*x^(n-1)+ ... + a_2*x^2 + a_1*x + a_0`

The leading term is `a_n*x^n` which is the term with the highest exponent in the polynomial.

The degree of the polynomial is the degree of the leading term (`a_n*x^n`) which is n.

The leading coefficient is the coefficient of the leading term. So, it is equal to `a_n`.

Examples

P(x) = `2x^3+x+4`
Leading term = `2x^3`
Leading coefficient = 2
Degree = 3

P(x) = `-x^5+x^4+2x^3-1`
Leading term = `-x^5`
Leading coefficient = -1
Degree = 5

P(x) = `x^2-1`
Leading term = `x^2`
Leading coefficient = 1
Degree = 2

See also

Polynomial calculators
Math Calculators