Question

If and are the zeros of the polynomial 2y2 - 6y + 4, then find the value of 2 + 2

Answer 1

Answer:

1

Step-by-step explanation:

Given polynomial 2y

2

+7y+5

Here a=2,b=7,c=5

α,β are two zeroes

So, sum of the zeroes =α+β=−

a

b

=

2

−7

Product of the zeroes =αβ=

a

c

=

2

5

Now just put the values

α+β+αβ=(α+β)+αβ

=

2

−7

+

2

5

=

2

−7+5

=

2

−2

=−1

∴ So, the required answer is −1.