Question 4. Write the degree of each of the following polynomials:
(i) 5x3 + 4x2 + 7x (ii) 4 – y2 (iii) 5t – √7 (iv) 3
Solution: (i)5x3 + 4x2 + 7x
In above expression 5x3 has highest power, and power is 3 so this is the polynomial of degree 3
(ii) 4 – y2
in above expression –y2 has highest power, and power is 2 so this is the polynomial of degree 2
(iii) 5t – √7
in above expression 5t has highest power, and power is 1 so this is the polynomial of degree 1
(iv) 3
(i) 5x3 + 4x2 + 7x (ii) 4 – y2 (iii) 5t – √7 (iv) 3
Solution: (i)5x3 + 4x2 + 7x
In above expression 5x3 has highest power, and power is 3 so this is the polynomial of degree 3
(ii) 4 – y2
in above expression –y2 has highest power, and power is 2 so this is the polynomial of degree 2
(iii) 5t – √7
in above expression 5t has highest power, and power is 1 so this is the polynomial of degree 1
(iv) 3
there is no variable therefore degree is 0
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