Question

If ∝ are zeroes of quadratic polynomial x2
-5 then make a quadratic polynomial

whose zeroes are ∝+1 +1


Give answer with full explanation .​

Answer 1

Step-by-step explanation:

α and β are the roots of the quadratic polynomial f(x) where a = 1, b = -1 and c = – 4 Sum of the roots = α + β = −ba−ba = – (−1)1(−1)1 = 1 Product of the roots = αβ = caca = −41−41 = – 4 1α+1β–αβ1α+1β–αβ ⇒ [(α+β)αβ]–αβ[(α+β)αβ]–αβ ⇒ [(1)(−4)(1)(−4)] – (-4) = −14−14 + 4 = 154Read more on Sarthaks.com - https://www.sarthaks.com/623661/if-and-are-the-zeros-of-the-quadratic-polynomial-f-x-x-2-x-4