Q4 of 82 Page 117

I write the degree of each of the following polynomials:

(i) x4 + 2x3 + x2 + x


(ii) 7x – 5


(iii) 16


(iv) 2 – y – y3


(v) 7t


(vi) 5 – x2 + x19

(i) (Note: The degree is the value of the greatest (highest) exponent of any expression (except the constant) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial).

Since, here the highest power of variable is 4,


⇒ Degree of polynomial=4.


(ii) Since, here the highest power of variable is 1,


⇒ Degree of polynomial=1.


(iii) Since, here the highest power of variable is 0, because there exist no variable.


⇒ Degree of polynomial=0.


(iv) Since, here the highest power of variable is 3,


⇒ Degree of polynomial=3.


(v) Since, here the highest power of variable is 1,


⇒ Degree of polynomial=1.


(vi) Since, here the highest power of variable is 19,


⇒ Degree of polynomial=19.


More from this chapter

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2

In the following polynomials, let us write which are first degree polynomials in one variable, which are second degree polynomials in one variable and which are third degree polynomials in one variable.

(i) 2x + 17


(ii)x3 + x2 + x+ 1


(iii) –3 + 2y2 + 5xy


(iv)5 – x – x3


(v)


(vi)

3

Let us write the co-efficient of the following polynomials according to the guidelines:

(i) The co-efficient of x3 in 5x3 – 13x2 + 2


(ii) The co-efficient of x in x2 – x + 2


(iii) The co-efficient of x2 in 8x – 19


(iv) The co-efficient of x0 in

5

I write two separate binomials in one variable whose degrees are 17.

 6

I write two separate monomials in one variable whose degrees are 4.