Question

If 2 of the zeroes of the polynomial x3+2
x2-x-2 are 1 and -1, then the value a? + B2
all the zeroes of the polynomial are
A.
1,-1,3
B.
1,-1,2
C.
1,-1,-2​

Answer 1

Answer:

B. is the answer.......

Answer 2

Answer :

⇛Option B

⇛1 , -1 , 2

Explanation :

According to the question :

Let ${ p ( x ) = x^3 + 2x^2 - x - 2}$

⟹ Since, 1 and -1 are zeroes of p ( x )

⟹ $( x - 1 ) ( x + 1 ) = x^2 - 1$

⟹ On dividing p ( x ) by $x^2 - 1$ , we get

$\boxed{ Refer\:to\:the\:picture }$

To find :

➳ $∴ p ( x ) = ( x^2 - 1 ) ( x + 2 )$ [ By division algorithm ]

➳ ( x + 1 ) ( x - 1 ) ( x + 2 )

➳ $\bold{So,\:All\:zeroes\:of\:p ( x )\:are\:1\:,\:-1\:,\:2}$

So, It's Done !!