Question

find a quadratic polynomial with the sum of x=zeros, sum of product of zeros taken two at a time and the product of the zeros as 1/4,-3/2 and 9/16 respectively

Answer 1

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These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials

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