Question

if one zero of the polynomial 3 x cube minus x square - 3 x + 1 is 1 then find all the other zeros ​

Answer 1

Answer:

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Answer 2

All the other zeros of the polynomial are -1 and 1/3

Step-by-step explanation:

Given:

$3x^3-x^2-3x+1$

Let one of the zero of the given polynomial=$\alpha=1$

$x^2(3x-1)-1(3x-1)$

$(x^2-1)(3x-1)$

We know that

$a^2-b^2=(a+b)(a-b)$

Using the formula

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

$x+1=0$

$x=-1$

$3x-1=0$

$3x=1$

$x=\frac{1}{3}$

Hence, all the other zeros of the polynomial are -1 and 1/3

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