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Using factor theorem, factorize the poly...

Using factor theorem, factorize the polynomial `x^3-6x^2+11 x-6`.

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To factor the polynomial \( x^3 - 6x^2 + 11x - 6 \) using the Factor Theorem, we will follow these steps: ### Step 1: Identify Possible Rational Roots We will use the Rational Root Theorem to identify possible rational roots. The possible rational roots are the factors of the constant term (-6) divided by the factors of the leading coefficient (1). The factors of -6 are ±1, ±2, ±3, ±6. ### Step 2: Test Possible Roots We will test these possible roots using substitution to see if any of them yield a value of zero. ...
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