Q. 134.7( 15 Votes )

Find all the zeroes of the polynomial 3x3 + 10x2 – 9x – 4 if one of its zero is 1.

Answer :

Consider 3x3 + 10x2 – 9x – 4,


Since 1 is the zero of the given polynomial.


So, (x-1) is the factor of the polynomial.



So, 3x3 + 10x2 – 9x – 4 = (x-1)(3x2 + 13x +4)


Now, 3x2 + 13x +4 = 3x2 + 12x + x +4


= 3x (x + 4) + 1 (x+4)


= (3x+1) (x+4)


So, zeroes will be


Thus, the zeroes will be x = -4, , and 1.

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