What is meant by the degree of a monomial and polynomial?

Answer 1

The degree is the highest power of the variable that appears in it.

(x2 + x + 9) is a second degree polynomial

(Q4 - 72) is a fourth degree polynomial

( z ) is a first degree monomial

So the degree of a polynomial in one variable is the highest power of the variable.

For example, [ 2x3 - 7x ] has degree 3.

The degree of a polynomial in two or more variables is the greatest sum of the

exponents in any single term.

For example, [ 5m3 + m2n - mn2 ] has degree 4.

And a degree of a monomial is the sum of the exponents of its variables.

For example, [ 4a2b3 ] has degree 5.