Q3 of 82 Page 117

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

(i) We can see that with x, the constant written before that is 5,

⇒ The co-efficient of x3 in 5x3 – 13x2 + 2 is 5.


(ii) We can see that with x, the constant written before that is -1,


⇒ The co-efficient of x in x2 – x + 2 is -1.


(iii) We can see that with x2, the constant written before that is 0, because there is no x2 in polynomial.


⇒ The co-efficient of x2 in 8x – 19 is 0.


(iv) We can see that with x0 (i.e., the constant) is √(11)


⇒ The co-efficient of x0 in √ (11) – 3√(11) x+x2 is √(11).


More from this chapter

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1

Let us write which are the polynomials in the following algebraic expressions. Let us write the degree of each of the polynomials.

(i) 2x6 – 4x5 + 7x2 + 3


(ii) x–2 + 2x–1 + 4


(iii)


(iv)


(v) x51 – 1


(vi)


(vii) 15


(viii) 0


(ix)


(x) y3 + 4


(xi)

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)

4

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

 5

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