Question 470437
Solve the problem. 
Use synthetic division to divide f(x) = x3 + 1x2 - 26x + 24 by x + 6. Use the result to find all zeros of f.
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f(x) = x^3+x^2-26x+24
synthetic division:
-6).....1......1.....-26........24
................-6.......30......-24
..........1....-5.......4...........0
f(x)=(x+6)(x^2-5x+4)
f(x)=(x+6)(x-4)(x-1)
ans:
zeros:-6, 1, and 4
see graph below as a visual check on answers

{{{ graph( 300, 300, -10, 10, -50, 50,x^3+x^2-26x+24) }}}