Question

Q5. The degree of the polynomial 2x²y - 8x²y2 + 5x - 10 is
a) 1
b)3
c) 4
d) 2.​

Answer 1

Answer:

$♤GOOD \: MORNING♤ \: : ) \\ ♡ANSWER♡ \: will \: be \: 4$

The degree of polynomials in one variable is the highest power of the variable in the algebraic expression. For example, in the following equation: x2+2x+4. The degree of the equation is 2 .i.e. the highest power of variable in the equation.

Browse more Topics Under Polynomials

•Polynomial and its Types

•Value of Polynomial and Division Algorithm

•Degree of Polynomial

•Factorisation of Polynomials

•Remainder Theorem

•Factor Theorem

•Zeroes of Polynomial

•Geometrical Representation of Zeroes of a Polynomial

•Multivariable polynomial

For a multivariable polynomial, it the highest sum of powers of different variables in any of the terms in the expression. Take following example, x5+3x4y+2xy3+4y2-2y+1. It is a multivariable polynomial in x and y, and the degree of the polynomial is 5 – as you can see the degree in the terms x5 is 5, x4y it is also 5 (4+1) and so the highest degree among these individual terms is 5.

A polynomial of two variable x and y, like axrys is the algebraic sum of several terms of the prior mentioned form, where r and s are possible integers. Here, the degree of the polynomial is r+s where r and s are whole numbers.

Note: Exponents of variables of a polynomial .i.e. degree of polynomials should be whole numbers