Question

If the zero of the polynomial x2 + px + q and double of the zero of 2x2 - 5x-3 respectively find values of p and q?

Answer 1

if two polynomials have the same roots, one is a multiple of the other. So,

x^2+px+q = 2(x^2-(5/2)x-(3/2))

so, p = -5/2 and q = -3/2

Answer 2

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