Write the degree of each of the following polynomials:
(i) 5x3 + 4x2 + 7x
(ii) 4 – y2
(iii) 5t – √7
(i) 5x3 + 4x2 + 7x
The highest power of the variable in a polynomial is the degree of the polynomial.
Here, 5x3 + 4x2 + 7x = 5x3 + 4x2 + 7x1
The powers of the variable x are: 3, 2, 1
the degree of 5x3+ 4x2 + 7x is 3 as 3 is the highest power of x in the equation.
(ii) 4 – y2
The highest power of the variable in a polynomial is the degree of the polynomial.
Here, in 4 – y2
The power of the variable y is 2
the degree of 4 – y2 is 2 as 2 is the highest power of y in the equation.
(iii) 5t – √7
The highest power of the variable in a polynomial is the degree of the polynomial.
Here, in 5t – √7
The power of the variable t is : 1
the degree of 5t – √7 is 1 as 1 is the highest power of y in the equation.