Question

If the zeroes of the polynomial ²+ 4 + 2 are and 2/ , then find the value of a
​

Answer 1

Step-by-step explanation:

Answer

Comparing x

2

+4x+2a with ax

2

+bx+c,

a=1,b=4,c=2a

According to the question,

α,

2

α

are the zeroes of the polynomial,

sum of the zeroes

a

b

α+

2

α

=

1

−4

α=

3

−8

α

2

=

9

64

[squaring both sides]

product of all zeroes,

α×

2

α

=

1

2a

α

2

=4a

∴4a=

9

64

[∵α

2

=

9

64

]

a=

9

16