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Factorise x^(3)+6x^(2)+11x+6....

Factorise `x^(3)+6x^(2)+11x+6`.

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To factorize the polynomial \( x^3 + 6x^2 + 11x + 6 \), follow these steps: ### Step 1: Identify possible rational roots The possible rational roots of the polynomial can be the factors of the constant term (6) divided by the factors of the leading coefficient (1). The factors of 6 are: \[ \pm 1, \pm 2, \pm 3, \pm 6 \] ### Step 2: Use the Rational Root Theorem to test possible roots We will test these possible roots by substituting them into the polynomial \( P(x) = x^3 + 6x^2 + 11x + 6 \) to see if they yield zero. ...
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