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Factor f(x) = x2 + 3x − 4.

Sagot :

Answer:

  • (x - 1)(x + 4)

Step-by-step explanation:

Find zero's of function:

  • x² + 3x - 4 = 0
  • x = (-3 ± √(3² + 4*4))/2
  • x = (-3 ± √25)/2
  • x₁ = (-3 + 5)/2 = 1
  • x₂ = (-3 - 5)/2 = -4

The factors are:

  • x² + 3x - 4 = (x - 1)(x + 4)
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