Q3 of 44 Page 70

Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5,

if two of its zeroes are and

Two zeroes are and

is a factor


is a factor


is a factor


Now,



Therefore, 3x2 + 6x +3 is also a factor


Dividing 3x2 + 6x +3 by 3,


We get,


x2 + 2x +1


Factorising x2 + 2x +1,


x2 + 2x +1 = 0


⇒ x2 + x + x +1 = 0


⇒ x(x+ 1) + 1(x +1) = 0


⇒ (x+ 1)(x +1) = 0


⇒ x= -1, -1


Therefore, the other zeroes are -1 and -1.


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