SOLUTION: 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.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 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.      Log On


   

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.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+300%2C+300%2C+-10%2C+10%2C+-50%2C+50%2Cx%5E3%2Bx%5E2-26x%2B24%29+