Question

Find the quadratic polynomial the sum and the product of whose zeros are -7 and -8 hence find the zeros.

Answer 1

Given ,

Sum of zeroes = -7

Product of zeroes = -8

We know that, Quadratic equation formula is

K[x^2-x(sum of zeroes)+(product of zeroes)]

Substituting the values we get,

K[ x^3-x(-7)+(-8)]

K[x^2+7x-8]

if K = 1, then the required Quadratic equation is

x^2+7x-8

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