Question

Determine the degree of each of the following polynomials.
(i) 2x – 1
(ii) -10
(iii) x3 – 9x + 3x5
(iv) y3(1 – y4)​

Answer 1

Answer:

(I) degree = 1

(ii) degree = 0

(iii) degree = 1

(iv) degree = 2

Step-by-step explanation:

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Answer 2

(i) 1

(ii) 0

(iii) 5

(iv) 7

Degree of a polynomial in one variable = highest power of the variable in algebraic expression

(i) 2x – 1      Power of x = 1

Highest power of the variable x in the given expression = 1

Hence, degree of the polynomial 2x – 1 = 1

(ii) –10

There is no variable in the given term.

Let us assume that the variable in the given expression is x.

– 10 = –10x0      Power of x = 0

Highest power of the variable x in the given expression = 0

Hence, degree of the polynomial – 10 = 0

(iii) x3 – 9x + 3x5        Powers of x = 3, 1 and 5 respectively.

Highest power of the variable x in the given expression = 5

Hence, degree of the polynomial x3 – 9x + 3x5= 5

(iv) y3 (1 – y4)

The equation can be written as, y3 (1 – y4) = y3 – y7

Powers of y = 3 and 7 respectively.

Highest power of the variable y in the given expression = 7

Hence, degree of the polynomial y3 (1 – y4) = 7

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