Question

What is the degree of each of the following polynomials?

(a) 25b ^ 2 + 8

(b) 6x ^ 3 * y + 4

(c) 13x + 4y - 7x ^ 3 (d) y ^ 5 + 2 ^ 6​

Answer 1

Answer:

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

Ans. (i)   4x2 – 3x + 7

                ⇒ 4x2 – 3x + 7x°

                ∵ All the exponents of x are whole numbers.

                ∴ 4x2 – 3x + 7 is a polynomial in one variable.

         (ii)   

                 

                ∵ All the exponents of y are whole numbers.

                ∴  is a polynomial in one variable.

         

         

         (v)   x10 + y3 + t50

                ∵; Exponent of every variable is a whole number,

                ∴ x10 + y3 + t50 is a polynomial in x, y