Question

find the zeoes of the following polynomial and verify the relation between the zeroes and its coefficient.

x2+x6-2​

Answer 1

Answer:

(a) Let us first find the zeroes of the given polynomial 6x

2

+5x−1 by equating it to 0 as shown below:

6x

2

+5x−1=0

⇒6x

2

+6x−x−1=0

⇒6x(x+1)−1(x+1)=0

⇒(6x−1)(x+1)=0

⇒(6x−1)=0,(x+1)=0

⇒6x=1,x=−1

⇒x=

6

1

,x=−1

Therefore, the zeroes are

6

1

and −1.