Question

Find all zeros of polynomial 3 x cube + 10 x square - 9 x minus 4 if one of its 0 is 1

Answer 1

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Answer 2

Answer:

$x=1, x={\frac{-1}{3}}, x=-4$

Step-by-step explanation:

The given polynomial is:

$3x^3+10x^2-9x-4$

It is given that one of the zero of the above given polynomial is 1, then the polynomial gets factorized as:

$(x-1)(3x^2+13x+4)$

$(x-1)(3x^2+12x+x+4)$

$(x-1)(3x(x+4)+1(x+4))$

$(x-1)(3x+1)(x+4)$

Thus, the zeroes of the given polynomial are:

$x=1, x={\frac{-1}{3}}, x=-4$