Question

√5 and -√5 are thetwo zeroes of the polynomial x³+3x²−5x−5,find its third zero



Class 10

Answer 1

Answer:

given polynomial is

p(x) = x³ +3x² -5x -15

on comparing it with the standard form of a cubic polynomial ,

We get,

a = 1

b= 3

c = -5

d = -5

given that two roots are √5 and -√5et the third root be ß

now

sum of roots = -b/a

= > √5 -√5 + ß = -3/1

=> ß = -3

so, the roots are √5, -√5 and ß.

Step-by-step explanation:

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