Question 1188473
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<pre>

First step is to write  f(x) = ax*(x+6)*(x-4),  where "a" is some real number (a leading coefficient).



Second step is to find the value of "a" by substituting x= -7 into the equation.


You get then


    -8 = a*(-7)*(-1)*(-11)

    -8 = -77a

     a = {{{8/77}}}.


THEREFORE, the polynomial is  f(x) = {{{(8/77)*x*(x+6)*(x-4)}}}.    <U>ANSWER</U>
</pre>

Solved and explained.