SOLUTION: How do i determine whether (b+4) is a factor of (b^3+3b^2-b+12)?

Question 175162: How do i determine whether (b+4) is a factor of (b^3+3b^2-b+12)?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do i determine whether (b+4) is a factor of (b^3+3b^2-b+12)?
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The easiest way is to set (b+4) = 0, then b = -4
If subbing -4 for b in the polynomial makes it zero, then (b+4) is a factor.
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(b^3+3b^2-b+12)
-64 + 3*16 + 4 + 12 =? 0
-64 + 48 + 4 + 12 =? 0
-64 + 64 = 0, so it's a factor.
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The other way is to divide it, takes longer.
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