Question

8. Find a quadratic polynomial with sun and product of its zeroes are 4 and 1 respectively.​

Answer 1

Answer

Let zeros be (α,β)

α+β=

a

−b

=1

αβ=

a

C

=−4

Polynominal is ax

2

+bx+C=0⇒x

2

+

a

bx

+

a

C

=0

x

2

−x−4=0.