Determine the degree of each of the following polynomials:
(i) 2x – 1
(ii) –10
(iii) x3 – 9x + 3x5
(iv) y3 (1 – y4)
(i) 2x – 1
The degree of polynomial 2x – 1 is one (1) because the highest power ( maximum exponent) of the variable x in the given expression is 1
(ii) –10
The degree of polynomial – 10 x0 is zero(0) because the highest power( maximum exponent) of the variable x in the given expression is zero (0).
(iii) x3 – 9x + 3x5
The degree of polynomial x3 – 9x + 3x5 is five (5) because the highest power( maximum exponent) of the variable x in the given expression is 5.
(iv) y3 (1 – y4)
The degree of polynomial y3 (1 – y4) is seven (7) because the highest power (maximum exponent) of the variable x in the given expression is 7
∵ y3 (1 – y4 ) = y3 – y7