CBSE Class 10 Answered

Dear Student,

Mathematically, definition of a polynomial is as follows:

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. For example, x² − 5x + 6 and 2p³q + y are polynomials. Also called multinomial.

NOTE: The sum of the variable exponents in a particular term is the degree of that term.Example: the degree of 12x³y⁴z²  is 3+4+2 = 9.

(And, the degree of the polynomial is determined by the term with the highest degree).

So, the degree of 4xyz is 3.

Moreover, a linear polynomial is a polynomial of degree 1.

Regards Topperlearning.