SOLUTION: please show me how to work this problem find all the zeros of the function and write the polynomial as a product of linear factors h(x)=x^3-11x^2-15x+325

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Question 125502: please show me how to work this problem
find all the zeros of the function and write the polynomial as a product of linear factors
h(x)=x^3-11x^2-15x+325

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the 15 and 325 coefficients suggest that + or - 5 could be a root __ -5 makes the function zero
__ so (x+5) is a factor

factoring out (x+5) leaves x^2-16x+65 __ use the quadratic formula to find the two other zeroes

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