Question

Find the Quadratic polynomial for the zeroes a,B Given in each case. 2,-1​

Answer 1

X^2-(2-1)x+2*-1
X^2-x-2

Answer 2

Answer:

Let: The Quadratic Polynomial $ax^2 + bx + c$

Given: α = 2, β = -1

⇒ Sum of Zeroes (α + β) = 2 - 1 = - (-1)/1 = -b/a

⇒ Product of Zeroes (αβ) = (2) (-1) = -2/1 = c/a

∴ a = 1, b = -1, c = -2

Substituting a,b,c values on the Eq 1 ($ax^2 + bx + c$), we get

= $1x^2 - x + (-2)$

= $x^2 - x - 2$