Which one is not a polynomial
(a) 4x2 + 2x – 1
(b)
(c) x3 – 1
(d) y2 + 5y + 1
(b)
Which polynomial is a binomial?
a) x3 – x2 + x
b) x2 – x
c) x3 + x2
d) x2 + x + 1
b) x2 – x
(X-y)(X+y)=
a) X2+y2
b) X2-y2
c) (X+y)2
d) (X-y)2
b) X2-y2
if 3 + 5 – 8 = 0, then the value of (3)3 + (5)3 – (8)3 is
(a) 260
(b) –360
(c) –160
(d) 160
b
Through which of the following points, the graph of y = –x passes?
(i) (1, 1)
(ii) (0, 1)
(iii) (–1, 1)
c
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
The number of zeros of x2 + 4x + 2
(a) 1
(b) 2
(c) 3
(d) none of these
2
The value of
The value of
(a) 300
(b) 500
(c) 400
(d) 600
(b)
Identify the polynomial
(a) x–2 + x–1 + 5
(b)
(c)
(d) 3x2 + 7
(d)
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
If y97 + 97 is divided by y + 1, the remainder is:
a) 0
b) 1
c) 95
d) 96
(d)
On simplifying we get
(a) 12
(b)
(c)
(d)
(d)
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
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
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)
The value of the polynomial 7x4 + 3x2 – 4, when x = – 2 is:
a) 100
b) 110
c) 120
d) 130
c) 120
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
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)
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
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
If (x-1) is the factor of 4x3+3x2-4x+k then k=?
a) 3
b) -3
c) 5
d) -5
Ans: b) -3
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
(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
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
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