Question

find a quadratic polynomial the sum and product of whose zeros are root 2 and minus 3 by 2​

Answer 1

Answer:

• 2x^2-2√2x-3=0...............................

Answer 2

Answer:

Hey...

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.

Hope you got it......

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