Question

Dwo zeroes of the polynomial
then lind the other two zores​

Answer 1

Step-by-step explanation:

Polynomial P(x)=x

4

−6x

2

−26

2

−138x−35

Let the zeroes of it are 2±

3

,

p(x)=x

4

−6x

3

−26

2

+138x−35

If x=2±

3

⇒x−2=±

3

Square on both sides

(x−2)

2

=(±

3

)

2

⇒x

2

−4x+4=3

⇒x

2

−4x+1=0

Divide p(x)=x

4

−6x

3

−26

2

+138x−35 By x

2

−4x+1

x

4

−6x

3

−26

2

+138x−35=(x

2

−4x+1)(x

2

−2x

−35)

∴x

2

−2x

−35=(x+5)(x−7)

−5,7 are other zeroes of the given polynomial .