SOLUTION: One factor of x3 + x2 + x - 3 is x - 1.What is the other factor? A. x2 + 2x - 3 B. x2 + 2x + 3 C. x3 + 2x + 3 D. x2 - 2x + 3 1. Multiply x

SOLUTION: One factor of x3 + x2 + x - 3 is x - 1.What is the other factor? A. x2 + 2x - 3 B. x2 + 2x + 3 C. x3 + 2x + 3 D. x2 - 2x + 3 1. Multiply x - 1 by choices B and D in Example 1 to

Question 228806: One factor of x3 + x2 + x - 3 is x - 1.What is the other factor?
A. x2 + 2x - 3 B. x2 + 2x + 3 C. x3 + 2x + 3 D. x2 - 2x + 3
1. Multiply x - 1 by choices B and D in Example 1 to find the correct answer.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If is a factor of then will divide into evenly. (Think about it.) If (x-1)*(the-other-factor) = then (the-other-factor) = . So all we need to do to figure out the other factor is divide. Synthetic division is probably easiest:

1 |   1  1  1  -3
---      1  2   3
     ------------
      1  2  3   0

As we can see, the remainder is zero. (x-1) does actually divide into evenly. And the other factor is found in front of the zero: "1 2 3" or

You can check by multiplying and see if you get
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