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If the zeros of the polynomial are in A.P., find them.
Let are the zeros of the given polynomial.
Sum of the zeros =
⇒ = =
= = = 15
On substituting =
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:
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.
Find the condition that the zeros of the polynomial may be in A.P.
If the zeros of the polynomial are in A.P., prove that .
If the zeros of the polynomial are in A.P., find the value of k.