Question

The sum and product
of the aeroes of a polynompet
are 2 1/2 and 3 respectively
then the quadratic polynomial is​

Answer 1

x square + 2 1/2 x + 3

Explanation:

it has a fixed formula

xsquare + (sum of zeroes)x + product of zeroes

Answer 2

Answer:

→ The sum of the roots of the Equation ax² + bx + c = 0 , is given by = (-b/a)

and ,

→ Product of roots of the Equation is given by = c/a.

Also,

→ Any Quadratic Equation can be written as x^2 - ( sum of roots )x + product of roots = 0

Given that,

→ sum of roots = (-1/2)

→ Product of roots = (-3)

So,

Quadratic Equation :- x² - ( sum of roots )x + product of roots = 0

→ x² - (-1/2)x + (-3) = 0

→ x² +(x/2) - 3 = 0

→ 2x² + x - 6 = 0

Hence, The required Quadratic Equation is 2x² + x - 6 = 0.