The number of polynomials having zeroes as -2 and 5
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(d) Let p (x) = ax2 + bx + c be the required polynomial whose zeroes are -2 and 5. Hence, the required number of polynomials are infinite i.e., more than 3.
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sum of zeroes =-2/1+5/1=-3/1
-3 is cofficient of x and 1 is cofficient of x^2
product of zeroes =-2×5= -10/1
-10 is constant term and 1 is cofficient of x^2
thus the quadratic equation is x^2-3x-10
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