Question

the quadratic polynomial where whose zeroes are 3 and -5 is​

Answer 1

Step-by-step explanation:

Let the quadratic polynomial be ax2 + bx + c, and its zeroes be α and β. Then

α = 3 and β = - 5

∴ Sum of the zeroes (α + β) = 3+(– 5) = – 2 and,

product of zeroes (αβ) = 3×(–5) = –15

Hence, the quadratic polynomial

= x2 – (α + β) x + αβ

= x2 – (– 2) x + (– 15)

= x2 + 2x – 15

Now, sum of the zeroes

= 3+(-5) = -2/1 => coefficient of x / coefficient of x^2

and product of zeroes

= 3×(-5) = -15/1. => constant term / coefficient of x^2