zero of polynomial
kinds of polynomial
Factorisation
zero of polynomial
linear equation
100

Which one is not a polynomial

 (a)   4x2 + 2x – 1

(b)  

(c)   x– 1

(d)   y2 + 5y + 1

(b)  

100

Which polynomial is a binomial?
a) x3 – x2 + x
b) x2 – x
c) x3 + x2

d) x+ x + 1

b) x2 – x

100

(X-y)(X+y)=

a) X2+y2

b) X2-y2

c) (X+y)2

d) (X-y)2

b) X2-y2

100

if 3 + 5 – 8 = 0, then the value of (3)+ (5)3 – (8)3 is

  (a)   260

(b)   –360

(c)   –160

(d)   160

b

100

Through which of the following points, the graph of y = –x passes?

 (i) (1, 1)

(ii) (0, 1)

(iii) (–1, 1)

c

200

The value of f(x) = 5x−4x2+3 when x = -1, is:
a. 3
b. -12
c. -6
d. 6

Answer: (c)
Explanation: When x= -1

f(x)=5x−4x2+3

f(−1)=5(−1) −4(−1)2+3

=−5–4+3

=−6

200

The number of zeros of x2 + 4x + 2

 (a)   1

(b)   2

(c)   3

(d)   none of these

2

200

The value of

The value of

   (a)   300

(b)   500

(c)   400

(d)   600

 

(b)

200

Identify the polynomial

(a)   x–2 + x–1 + 5

(b)  

(c)  

(d)   3x2 + 7

(d)

200

The graph of which of the following equations passes through the origin?

 (i) y = 2x + c

(ii) y = 2x – c

(iii) y = 2x

(iii) y = 2x

300

If y97 + 97 is divided by y + 1, the remainder is:
a) 0
b) 1
c) 95
d) 96

(d)

300

 On simplifying  we get

(a)   12

(b)  

(c)  

(d)  

(d)  

300

a2+16b2+25c2+24ab+40bc+30ac is the expansion of

a) (4a+3b+5c)2

b) (3a-4b+5c)2

c) (3a+4b-5c)2

d) (3a+4b+5c)2

d) (3a+4b+5c)2

300

Find the remainder when polynomial p(x)=5x−4x2+3 is divided by the polynomial g(x)=x−2?

a)-3

b)3

c)4

d)0

-3

300

The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely
(a) (−23, 0)
(b) (0, −23)
(c) (23, 0)
(d) 23, −23

(c) (23, 0)

400

The value of the polynomial 7x4 + 3x2 – 4, when x = – 2 is:
a) 100
b) 110
c) 120
d) 130

c) 120

400

The graph of x = 3 is a line:

(a) Parallel to x-axis at a distance of 3 units from the origin

(b) Parallel to y-axis at a distance of 3 units from the origin

(c) Makes an intercept 3 on x-axis

(d) Makes an intercept 3 on y-axis

 b.Parallel to y-axis at a distance of 3 units from the origin

400

The factorization of 6x2 + 11x + 3 is:
a) (3x + 1) (2x + 3)
b) (x + 1) (2x + 3)
c) (x + 3) (2x + 1)
d) (3x + 3) (x + 1)

(a)

400


P(x)=2x4+3x3+ax2+3x+6, Q(x)=x+2 if Q(x) is a factor of P(x),the value of a will be

a)-2

b)2

c)-1

d)1

a)-2

400

 Which line is parallel to y=x-2?

       (a)  y=2x+1

       (b)  2y=2x-6

       (c)  2y=x+7

       (d)  y=3x+1

(b)  2y=2x-6

500

If (x-1) is the factor of 4x3+3x2-4x+k then k=?

a) 3

b) -3

c) 5

d) -5


Ans: b) -3

500

Find the values of m and n if the polynomial  and x + 2 as its factors.

x – 1 and x + 2 are factor of

x = 1, x = -2

m+n-12=0

16+4m+2n-14= 0

4m+2n+2 =0

4m+2n= -2

2m+n= -1------(2)

Subtracting (2) from (1)

-m = 13

Put m = -13 in (1)

-13+n=12

N=12+13=25

500


(x+y+z)2−2(xy+yz+xz) equals to?

a)x2+y2+z2

b)x2+y2+z2−(xy+yz+xz)

c)x2+y2+z2+3(xy+yz+xz)

d)None of these

a)x2+y2+z2

500

If a + b + c = 15 and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc

(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
=152=83+2(ab+bc+ca)
2(ab+bc+ca)=225−83
(ab+bc+ca)=71
a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−ca)
=15(83−71)


=180

500

The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.       

(a) 46

(b) 48

(c) 64

(d) 84

(c) 64