Question

A quadratic polynomial with sum and product of its zeroes as 8 and -9 respectively is​

Answer 1

Step-by-step explanation:

Answer ::

x²-(α+β)x+αβ=0

x²-(8-9)x+(-72)=0

x²+x-72=0

Answer 2

Step-by-step explanation:

$\alpha + \beta = \frac{ - b}{a} , \alpha . \beta = \frac{c}{a} \\8 = \frac{ - b}{a} , \: \: \: - 9 .\ = \frac{c}{a} \\ therefore \: \: \\ a = 1 ,b = - 8, c = - 9$

ax^2+bx+c

Required polnomial= x^2-8x-9

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