a) x²/3 - 2/x² b) x³ + 4x³⁾²/√x c) √(3y) + 5 d) (x²-1)/(x²+1)
2) The Coefficient of x² in (2x²-5)(4+ 3x²) is
a) 2 b) 3 c) 8 d) -7
3) √2 is a polynomial of degree
a) 2 b) 0 c) 1 d) 1/2
4) Degree of polynomial (x³-2)(x²+ 11) is
a) 0 b) 5 c) 3 d) 2
5) Degree of zero polynomial is
a) 0 b) any natural number c) 1 d) not defined
6) Standard form of the polynomial 1/x⁻³ + x/8 + 6x⁵ + √3/5 is
a) x³ + x/8 + 6x⁵ + √3/5
b) 6x⁵ + x³ + x/8 + √3/5
c) 6x⁵ + √3/5 + x/8 + x³
d) x³ + 6x⁵ +√3/5 + x/8
7) x² + 5x - 1/2 is a
a) quadratic polynomial in x
b) binomial
c) monomial
d) cubic polynomial in x.
8) A polynomial of degree 5 in x has at most
a) 5 terms b) 10 terms c) 6 terms d) 4 terms
9) The expansion of (x + y + z)² is
a) x²+ y²+ z² - 2xy - 2yz - 2zx
b) x²+ y²+ z² + 2xy + 2yz + 2zx
c) x²+ y²+ z² - xy - yz - zx
d) x²+ y²+ z² + xy + yz + zx
10) The expansion of (x - y)³ is
a) x³+ y³ + 3x²y + 3xy²
b) x³+ y³ - 3x²y + 3xy²
c) x³- y³ - 3x²y + 3xy²
d) x³- y³ + 3x²y - 3xy²
11) The product (x/2 - 3y)(3y + x/2)(x²/4 + 9y²) is equal to
a) x⁴/16 + 81y⁴ b) x⁴/81 + 16y⁴ c) x⁴/81 - 16y⁴ d) x⁴/16 - 81y⁴
12) 75 x 75 + 2 x 75 x 25 + 25 x 25 in simplified form is equal to
a) 10000 b) 6250 c) 7500 d) 3750
13) (8.83 x 8.83 - 2.17 x 2.17)/6.66 in its simplified form is equal to
a) 9 b) 10 c) 11 d) 12
14) If x+ y+ z = 0, then x³+ y³+ z³ is equal to
a) x²+ y²+ z²+ 3xyz b) 3xyz c) 3x²y²z² d) x²+ y²+ z² - xy - yz - zx
15) If 49x² - y = (7x + 1/2)(7x - 1/2), then the value of y is
a) 0 b) 1/4 c) 1/√2 d) 1/2
16) The expanded form of (3a - 5b - c)² is
a) 9a²+ 25b²+ c² - 30ab + 10bc - 6ac.
b) 9a²+ 25b²+ c² + 30ab - 10bc + 6ac.
c) 9a²+ 25b²+ c² - 30ab - 10bc + 6ac.
d) 9a²+ 25b²+ c² + 30ab + 10bc - 6ac.
17) The product of (x/2 + 2y)(x²/4 - xy + 4y²) is
a) x³/6 + 6y³ b) x³/8 + 8y³ c) x³/8 - 8y³ d) x³/6 - 6y³
18) The expanded form of (x + 1/3)³ is
a) x³+ 1/27 + 3x² + x/3
b) x³+ 1/27 + x² + x/3
c) x³+ 1/9 + 3x² + 3x
d) x³+ 1/9 + 3x + x/3
19) If x+ 1/x = 8, then the value of x²+ 1/x² is
a) 62 b) 64 c) 66 d) 60
20) The value of p³ - q³ if p - q = -8, pq = -12
a) -244 b) -240 c) -224 d) -260
21) If 9x²- 30x + k is a perfect square then the value of k is
a) 25 b) 5 c) 36 d) 81
22) The value of a²+ b²+ c², if a+ b+ c= 13 and ab + bc + ca= 27 is
a) 250 b) 223 c) 115 d) 81
23) Using a suitable identity evaluate 101 x 102.
24) If 4a²+ b²= 40 and ab = 6, find the value of 2a + b.
25) If x+ y= 3, xy = 2, find the value of x³+ y³.
26) Evaluate: x³ - 1/x³ if x - 1/x = 6.
27) Simplify: (0.645) x (0.645)+ 2 x (0.645) x (0.355) + (0.355) x (0.355).
28) Simplify: (x + 2y - 5z)² - (x - 2y + 5z)².
29) Use a suitable identity evaluate (2a - 3/a +1)(2a + 3/a +1).
30) Simplify: (3x + 5y)(9x² - 15xy + 25y²).
31) Find the product (x - 2/x)(x² + 2 + 4/x²).
32) Degree of which polynomial is 0?
a) x b) 15 c) y d) x + x²
33) If x²+ y²+ z²= 40 and xy + yz + zx = 30, then x + y+ z is equals to
a) only +10 b) only -10 c) ±10 d) ±70
34) Using a suitable identity evaluate (0.99)².
35) Evaluate: (2)³ - (1/5)³.
36) Using suitable identity evaluate 55³ - 25³ - 30³
37) Simplify: (3.59 x 3.59 - 2.41 x 2.41)/(3.59 + 2.41)
38) If 3x + 2y =12 and xy = 6, find the value of 9x²+ 4y².
39) If x²+ 1/x²= 7, find the value of x + 1/x.
40) If x²+ 1/x²= 83, find the value of x³ - 1/x³.
41) Using suitable identity find the following product:
(x+ y + 2z)(x²+ y²+ 4z² - xy - 2yz - 2zx).
42) If a+ b+ c = 6 and ab + bc + ca= 11, find the value of a³+ b³+ c³ - 3abc.
43) Simplify: (2x - 5y)³ - (2x + 5y)³.
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