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2. Polynomials
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Q4 of 109 Page 2

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

Let are the zeros of the given polynomial.


Sum of the zeros =


⇒ =


⇒ =


⇒ =


Since is the zero of the polynomial, therefore




=, we get





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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.

3

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

5

If the zeros of the polynomial are in A.P., prove that .

6

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

Questions · 109
2. Polynomials
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