Question

Find a quadratic polynomial whose sum and product of zeroes are -3/5,-13/5

Answer 1

Answer :

5x² + 3x - 13

Solution :

It is given that,

• the sum of zeroes = - 3/5
• the product of zeroes = - 13/5

We know that,

sum of zeroes = - b/a

⇒ α + β = - 3/5

On comparing, b = 3 and a = 5

Also,

product of zeroes = c/a

⇒ αβ = c/a

⇒ αβ = - 13/5

On comparing, c = - 13 and a = 5

From this,

a = 5, b = 3 and c = - 13

We also know that, a quadratic equation is :- ax² + bx + c

Hence,

⇒ 5x² + 3x - 13 = 0

$\rule{200}2$

Answer 2

Answer:

it may or may not be 5 rally