Question

the product of zeros of 2x²-3x+6​

Answer 1

3

-3

2

-2

hope it helps u....

Answer 2

Hi frnd
Given Polynomial :-
2x² + 3x - 6
Roots = α and β
So as in a quadratic Polynomial :-
-b/a = Sum of roots = α + β
c/a = Product of roots = αβ
Now in our polynomial
a = 2
b = 3
c = -6
So
Sum of roots = -3/2
Product of roots = -6/2 = -3
Now we have to find out the value of
α² + β²
Now as we know
a² + b² = (a + b)² - 2ab
So
α² + β² = ( α + β)² - 2 (αβ)
= (-3/2)² - 2(-3)
= 9/4 + 6
= (9 + 24)/4
= 33/4
So α² + β²
= 33/4
Hope this helps u
BRAINLIST answer pls
Do follow me on Instagram at ishaagopika