f(x)=x^3–7x-6 and f(-2)=0. Use algebraic long division to find all the solutions of f(x)=0 .
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f(x)= x3-7x-6
f(0)= 03-7*0-6 = 0-0-6 = -6 x=0 is not a root, so (x-0)=x is not a factor.
f(1)= 13-7*1-6 = 1-7-6 = -12 x=1 is not a root, so (x-1) is not a factor.
f(2)= 23-7*2-6 = 8-14-6 = -12 x=2 is not a root, so (x-2) is not a factor.
f(3)= 33-7*3-6 = 27-21-6 = 0 x=3 is a root, so (x-3) is a factor.
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