SOLUTION: Use Synthetic Division to find the 3 zeros of {{{x^3+7x^2+2x-40=0}}}

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Question 122988: Use Synthetic Division to find the 3 zeros of x%5E3%2B7x%5E2%2B2x-40=0
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
testing some factors of -40 shows that -4 is a root __ this means that x+4 is a factor

dividing by x+4 __ (x^3+7x^2+2x-40)/(x+4)=x^2+3x-10

factoring __ x^2+3x-10=0 __ (x+5)(x-2)=0

so (x+4)(x+5)(x-2)=0 __ zeroes are -4, -5, 2

not synthetic division, but you can use the zeroes to divide "syntheticly"