Question

The sum and product of zeroes of quadratic polynomial are 3 and - 2 respectively. What is the polynomial

Answer 1

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Topic:- Quardratic Polynomial


We have:-

Sum of Zeroes=)3

Product of Zeroes=)-2

Required Polynomial General form:-

ax²+bx+c


Now putting the value of Required terms


x²-(a+b)x+ab
x²-(3)x+(-2)

x²-3x-2


Answer:- x²-3x-2



Thanks!!!

Answer 2

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We know that every quadratic equation is based on this relation..

We know that every quadratic equation is based on this relation..

p(x) = kx² - (α+β)x + αβ

 where, α and β are the zeroes of given polynomial.

Now putting values of (α+β)and  αβ in above equation, we get ...

p (x) = x² - (√2)x + (-3/2) = 0

x² - √2x - 3/2 = 0

Let us multiply both sides by 2, we get...

2x² - 2√2x -3 = 0

Hence, the required polynomial is 2x² - 2√2x -3.

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