Question

3) Find the degree of the following
polynomials :1-√2y²+y7​

Answer 1

Step-by-step explanation:

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

Hence, for 2-y^2-y^3+2y^7

, the degree=7

So, answer is 7.

Answer 2

2 is the answer.

Solution

$1 - \sqrt{2} {y}^{2} + y7$

Writing in standard form

$- \sqrt{2} {y}^{2} + 7y + 1$

This equation can be written as

$\sqrt{2} {y}^{2} + 7 {y}^{1} + 1 {y}^{0}$

The first term has a degree of 2

The second term has a degree of 1

and the last term has a degree of 0.

Therefore, the polynomial has a degree of 2, which is the highest degree of any term.