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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RELATED QUESTIONS :
In the given figure, the graph of the polynomial p(x) is shown. The number of zeros of p(x) is
Find all the zeroes of the polynomial 3x3 + 10x2 – 9x – 4 if one of its zero is 1.
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