Question

Find a quadratic polynomial, the sum and product of whose zeroes are - 3 and 2, respectively.


Answer for 50 points, and good luck! ​

Answer 1

Given,

sum of roots (α+β) =-3

product of roots (αβ)=2

Equation of polynomial =

=x^2-(α+β)x+ (αβ)

=x^2-3x+2

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Answer 2

Answer:

Sum of the zeoes = -3

product of the zeroes = 2

p(x) = x² - (sum of zeroes)x + product of zeores

= x² -(-3)x + 2

= x² +3x +2

for the zeroes:-

x² +(2+1)x +2

x²+2x + x + 2

x(x+2) +1(x+2)

(x+1) (x+2)

thus the zeroes are -1 & -2

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