Q2 of 109 Page 2

Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and product of its zeros as 3, -1 and -3 respectively.

A quadratic equation when sum and product of its zeros is given by:


, where k is any non-zero real number.



f, where k is any non-zero real number.


More from this chapter

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20

If α and β are the zeros of the quadratic polynomial , then evaluate:

(i) (ii)


(iii) (iv)


(v) (vi)


(vii) (viii)

1

Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in each case:

(i)


(ii)

3

If the zeros of the polynomial are in A.P., find them.

 4

Find the condition that the zeros of the polynomial may be in A.P.