Question

8.3
Find the quadratic polynomial, the sum & product
of whose zeroes are √2 & - 3 respectively,​

Answer 1

Answer:

hey mate ❤️......here is your answer...

given,

sum of the zeroes=√2

product of the zeroes=(-3)

so,the quadratic equation is=x^2-(sum of the

zeroes)+product of the

zeroes

=x^2-√2x-3

Step-by-step explanation:

hope this help u.... please mark as brainliest dear ❤️☺️.......

Thank u❤️

Answer 2

Given :-

• sum of zeros = √2.
• Product of zeros = (-3).

To Find :-

• Find the Quadratic Polynomial ?

Solution :-

The Equation with sum & Product of Roots is given by :- x^2 - ( sum of roots )x + product of roots = 0

Putting values we get :-

= > x² - (√2)x + (-3) = 0

= > x² - √2x - 3 = 0

Hence, Required equation is x² - √2x - 3 = 0..

_____________________________

Extra :-

→ 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.