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ddd [48]
3 years ago
14

Factor x^3-4x^2-3x+18=0 given that 3 is a zero.

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
  • (x - 3)(x - 3)(x + 2 ) = 0

The answer is B

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