Question:
If alpha and beeta are the zeroes of the quadratic polynomial f(x)=x^2-px+ q the find the value alpha^2+ beeta^2
Answer:
Given, quadratic polynomial is f(x) = x2 - px + q
Now, α and β are the zeroes of the polynomial.
So, α + β = -(-p)
=> α + β = p
and α * β = q
Now, α2 + β2 = (α + β)2 - 2 *α * β
=> α2 + β2 = p2 - 2 *q
=> α2 + β2 = p2 - 2q
Not what you are looking for? Go ahead and submit the question, we will get back to you.
