Q2 of 13 Page 36

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.

Let the polynomial be


Then,


=


=


=


If a = 1 then,


Hence,

More from this chapter

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5

Give examples of polynomials and which satisfy the division algorithm and

(i)


(ii)


(iii)

1

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:

(i)


(ii)

3

If the zeroes of the polynomial are find and

4

If two zeroes of the polynomial are find other zeroes.