Question

Find the degree of each of the following polynomials :
`(i) 5x^(2)-2x+1 " " (ii) 1-5t+t^(4) " " (iii) 7 " " (iv) x^(4)-3x^(6)+2`

Answer 1

(i) Given polynomial `=5x^(2)-2x+1`
Terma containing highest power`=5x^(2)`
Its power=2
`therefore `The degree of the given polynomial =2
(ii) Given polynomial `=1-5t+t^(4)`
Term containing highest power `=t^(4)`
Its power=4
`therefore ` The degrre of the given polynomial =4
(iii) Given polynomial `=7=7x^(0)`
Term containing highest power=7
Its power=0
`therefore` The degree of the given polynomial =0
(iv) Given polynomial `=x^(4)-3x^(6)+2`
Term containing highest power`= -3x^(6)`
Its power =6
`therefore` The degree of the given polynomial =6