Question

find the degree of the polynomials given below:

(i) x + 1 (ii) x

2 + x + 5 (iii) aZ3 + bZ2 + c (iv) y

4

– 6y3 + 2y2 + 5y – 7​

Answer 1

Answer:

Step-by-step explanation:

The degree of polynomials in one variable is the highest power of the variable in the algebraic expression.

(i) x + 1

Highest power of x = 1

Therefore, degree = 1

(ii) $x^{2} + x + 5$

Highest power of x = 2

Therefore, degree = 2

(iii) $az^{3} + bz^{2} + c$

Considering a, b, c as constants,

Highest power of z = 3 (Note: variable z is used instead of x)

Therefore, degree = 3

(iv) $y^{4}-6 y^{3}+2 y^{2}+5 y - 7$

Highest power of y = y (Note: variable y is used instead of x)

Therefore, degree = 4