Find a quadratic polynomial whose zeroes are 1and -3 – InterviewSolution

1.

Find a quadratic polynomial whose zeroes are 1and -3

Answer»

$x^{2} +2x-3$

Step-by-step explanation:

Let the zeroes be α and β

Every quadratic POLYNOMIAL is of the form: k(x2 - (α+β)x + αβ)

THEREFORE, we can WRITE it as k( $x^{2}$ - (1+(-3)) $x$ + 1*(-3)) = k(x2+2x-3)

TAKING k to be 1, the polynomial is $x^{2} + 2x - 3$

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