Year 10  Polynomials
(Sample Online worksheet)
Choose correct answer(s) from given choice
1)  If a and b are the zeros of quadratic polynomial x^{2} + 2px + q, find the value of 1/a + 1/b.

2)  Find the quadratic polynomial such that sum of its zeros is 12 and difference between zeros is 8.

3)  If α and β are the zeros of quadratic polynomial x^{2} + 2x + 1, find the value of α^{3} + β^{3}.

4)  If two zeros of polynomial x^{3} + bx^{2} + cx + d are 3+√3 and 3√3, find its third zero.

5)  If α and β are the zeros of polynomial x^{2}  11x + k, such that α  β = 3. Find the value of k.

6)  Find the zeros of the polynomial f(x) = x^{3}  3x^{2}  4x + 12, if it is given that two of its zeros are equal in magnitude but opposite in sign.

7)  If α and β are the zeros of quadratic polynomial x^{2} + 3x + 2, find the value of 1/α^{3} + 1/β^{3}.

8)  If α and β are the zeros of polynomial x^{2}  12x + k, such that α^{2} + β^{2} = 74. Find the value of k.

9)  Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial x^{2} + 3x  4.

10)  If α and β are the zeros of quadratic polynomial x^{2} + 2px  q, find the value of α^{2} + β^{2}.
