Year 10 - Polynomials

(Sample Online worksheet)

Choose correct answer(s) from given choice

1)If a and b are the zeros of quadratic polynomial x2 + 2px + q, find the value of 1/a + 1/b.
a. 2q b. -4q
c. -2q d. 4q
2)Find the quadratic polynomial such that sum of its zeros is 12 and difference between zeros is 8.
a. k [x2 - 12x + 20] b. k [x2 - 12x - 20]
c. k [x2 + 12x + 20] d. k [x2 - 15x + 20]
3)If α and β are the zeros of quadratic polynomial x2 + 2x + 1, find the value of α3 + β3.
a. -2 b. -1
c. 0 d. -3
4)If two zeros of polynomial x3 + bx2 + cx + d are 3+√3 and 3-√3, find its third zero.
a. c - 6 b. b - 6
c. - c - 6 d. -b - 6
5)If α and β are the zeros of polynomial x2 - 11x + k, such that α - β = 3. Find the value of k.
a. 28 b. 35
c. 32 d. 24
6)Find the zeros of the polynomial f(x) = x3 - 3x2 - 4x + 12, if it is given that two of its zeros are equal in magnitude but opposite in sign.
a. 2, -2 and 3 b. 3, -3 and -2
c. 2, -2 and -3 d. 3, -3 and 2
7)If α and β are the zeros of quadratic polynomial x2 + 3x + 2, find the value of 1/α3 + 1/β3.
a. -3/2 b. -9/8
c. -7/8 d. -11/8
8)If α and β are the zeros of polynomial x2 - 12x + k, such that α2 + β2 = 74. Find the value of k.
a. 28 b. 35
c. 40 d. 30
9)Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial x2 + 3x - 4.
a. b.
c. d.
10)If α and β are the zeros of quadratic polynomial x2 + 2px - q, find the value of α2 + β2.
a. 4p2 - 2q b. 4p2 + q
c. 4p2 + 2q d. 4p2 + 4q
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