Question

If the zeroes of the polynomial x^3 - 3x^2 + x + 1 are a - b, a and a + b, then find a and b.

Class X [ NCERT ]

Polynomial chapter


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Answer 1

Sum of zeroes = ( - coefficient of x^2)/coefficient of x^3

a- b + a + a + b= ( -(-3))/1

3a = 3

a= 1

And product of zeroes = - constant term/coefficient of x^3

( a-b)( a)( a+b)= -1

put a= 1

( 1-b)( 1+b)= -1

1 - b^2 = -1

b^2 = 2

b= +-√2

So a = 1

and b= +-√2



✌✌✌✌Dr.Dhruv✌✌✌✌✌

Answer 2

#RAM RAM ji ❤☺

ĀNSWĒR ⏬⏬

given equation ▶

a▶1

B▶+-√2

THANKS ✌

#NAVI ❤ HARYANVI ♠