Using factor theorem, factorize each of the following polynomials : `x^4-2x^3-7x^2+8x+12`

Explanation

Let `f(x)=x^4-2x^3-7x^2+8x+12`

The factors of the constant term 12 are `+-1,+-2,+-3,+-4,+-6,+-12`.

Let `x=1`, thsi implies,
,
`f(1)=(1)^4-(2)^3-7(1)^2+8(1)+12`

=1-2-7+8+12

=21-9

=12 eq0

Therefore,`x=1`is not a factor of `f(x)`.

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