Question 1125357
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You can certainly expand all the answer choices completely, as the other tutor did, to find which one is equivalent to the given polynomial.  But there are much faster ways.<br>
The method that comes immediately to mind for me is the rules for the sum and product of the roots of a polynomial.  In the given cubic polynomial,<br>
the sum of the roots is {{{-(-3/1) = 3}}} and the product of the roots is {{{-(8/1) = -8}}}.<br>
Then given that 4 is a root, the sum of the other two roots must be -1 and the product of the other two must be -2.<br>
A bit of mental arithmetic shows the other two roots are -2 and 1.  So the factored form of the polynomial will be<br>
{{{(x-4)(x+2)(x-1)}}}<br>
Answer B