a) 7/16 b) 5/16 c) 3/16 d) 1/16
2) If p(x)= 2x² - 3x +5, then the value of {p(0)+ p(1)}/p(-1) is
a) 1/10 b) 4/11 c) 9/10 d) 4/5
3) Zero polynomial p(x), where p(x)= ax +1, a≠ 0 is
a) 1 b) -a c) 0 d) -1/a
4) Zeroes of the polynomial p(x)= (x+2)(x +5) are
a) 2,5 b) -2,-5 c) 1/2,1/5 d) -1/2,-1/5
5) Zeroes of the polynomial p(x)= x(x -1)(x -2) are
a) 0, -1,2 b) 0,-1-2 c) 0,1,-2 d) 0,1,2
6) Which of the following is a zero of the polynomial x³+ 3x² - 3x -1?
a) -1 b) -2 c) 1 d) 2
7) The number to be added to the polynomial x² - 5x +4, so that 3 becomes its zero, is
a) 4 b) - 4 c) - 2 d) 2
8) The number to be subtracted from the polynomials x² - 16x +30, so that 15 becomes its zero, is
a) 15 b) 16 c) 30 d) 0
9) A polynomial whose zeros are √2 and - √2 is
a) x²+ 2 b) x - 2 c) x² - 2 d) x + 2
10) if x= 2 is a zero of the polynomials x²- 2k +2, then the value of k is
a) 1 b) 2 c) 3 d) 4
11) The value of k for which the polynomial x³ + 3x² - 3x + k has -3 as its zero , is
a) - 9 b) - 3 c) 9 d) 12
12) The remainder when p(x)= x³+ 1 is divided by x + 1 is
a) - 6 b) 0 c) 1 d) 6
13) The remainder when x⁵¹ + 51 is divided by x + 1, is
a) 51 b) 50 c) -1 d) 0
14) The remainder when x²+ 2x +1 is divided by x + 1, is
a) 4 b) 0 c) 1 d) - 2
15) The remainder when f(x)= x³ + 4x² - 3x +1 is divided by x - 2, is
a) 16 b) 12 c) 17 d) 19
16) if x + 1 is a factor of the polynomials 2x²+ Kx, then the value of k is
a) -2 b) - 3 c) 4 d) 2
17) if x + a is a factor of x⁴ - a²x² + 3x - 6a, then the value of a is
a) 0 b) 1 c) -1 d) 2
18) x + 1 is a factor of the polynomial
a) x³+ x² - x + 1 b) x³+ x² + x + 1 c) x⁴ x³+ x² + 1 d) x⁴+ 3x³+ 3x² + x + 1
19) For the polynomial (x + 2), (x - 2), the value of p(0), p(1), p(-2) respectively are
a) 0, 3, - 4 b) - 1, 0, 3 c) - 4 , - 3, 0 d) 1, 4, -3
20) If p(x)= x² - 4x +3, then the value of p(2) - p(-1) + p(1/2) is
a) 31/4 b) -31/4 c) 21/4 d) -21/4
21) If polynomial x³ - 2mx² +16 is divided by x + 2, then the value of m is
a) -2 b) 2 c) 1 d) - 1
22) If 2x - 1 is a factor of 8x⁴ + 4x³ - 16x² + 10x + a, then the value of a is
a) -2 b) 2 c) 1 d) - 1
23) Show that (3x -2) is a factor of 3x³ + x² - 20x + 12.
24) Find the remainder when 2x² - x + 1 is divided by (2x +1).
25) The value of polynomial p(x)= 2x³+ 9x² + 10x +3 at 1 is
a) 26 b) 24 c) 25 d) 29
26) Which of the following is a zero of the polynomial x² - 5x + 6 ?
a) 3 b) -3 c) 5 d) 6
27) If -4 is a zero of the polynomial x² + 11x + k, then k is equal to
a) 28 b) 44 c) 16 d) 60
28) The remainder when p(x)= x³+ 3x²+ 3x +1 is divided by x +1 is
a) -6 b) 0 c) 1 d) 6
29) Find the Zeroes of the polynomial p(x)= (x -2)² - (x +2)².
30) Show that x -1 is a factor of x¹⁰ - 1 and also x¹¹ - 1.
31) Find the value of a so that (2x -1) will be a factor of 2x³ + ax² + 11x + a + 3.
32)
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