Question

find the quadratic polynomial whose sum of zeroes is 2 and product is -3 (Class 10)​

Answer 1

Given:-

• Sum of roots = 2
• Product of roots = -3

To Find:-

• The Quadratic Polynomial.

SoluTion:-

$\alpha + \beta = \frac{ - b}{a} = \frac{2}{1}$

$\alpha \beta = \frac{c}{a} = \frac{ - 3}{1}$

So,

b = -2, a = 1 & c = -3

→ ax²+bx+c = 0

→ 1(x²)+(-2x)+(-3) = 0

→ x²-2x-3 = 0

Hope It Helps You ✌️