Markac 25. Find a quadratic polynomial, the sum andproduct of whose ze

1.	Markac 25. Find a quadratic polynomial, the sum andproduct of whose zeroes are /2 andrespectively. Also, find its aeroes2INCERT Exemplar Problem]
Answer» We know that every quadratic equation is based on this relation.. p(x) = kx² - (α+β)x +αβwhere, 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) = 0x² -√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.

Markac 25. Find a quadratic polynomial, the sum andproduct of whose zeroes are /2 andrespectively. Also, find its aeroes2INCERT Exemplar Problem]

Answer»

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

p(x) = kx² - (α+β)x +αβwhere, 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) = 0x² -√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.