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Using factor theorem, factorize each of the following polynomials : `x^3-10 x^2-53 x-42`

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`x=1, (-1)^3-10(-1)^2-53(-1)-42=0`
`=>-53+53=0`
Therefore , (x+1) is factor of polynomial of x.
`x^2(x+1)-11x(x+1)-42(x+1)`
`(x+1)(x^2-11x-42)`
`(x+1)(x^2-14x+3x-42)`
`(x+1)(x+3)(x-14)`
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