Question

What is the degree of polynomial?
With example!​

Answer 1

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial
`7y {}^(3) {z}^(2)` is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)

Answer 2

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What is the degree of polynomial?

`\large\boxed{\mathfrak{Answer}}`

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

`{6x}^(4) + {2x}^(3) + 3`

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.