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Math Asked by a SnapAndSolve user · about 10 hours ago

What are the x-intercepts of the graph of the function below?

What are the x-intercepts of the graph of the function below?
y = x^2 + 2x - 15
A. (5, 0) and (-3, 0)
B. (-5, 0) and (3, 0)
C. (-5, 0) and (-3, 0)
D. (5, 0) and (3, 0)

Answer

To find the x-intercepts, set y = 0 and solve for x:

x^2 + 2x - 15 = 0

Factor the quadratic equation:

(x + 5)(x - 3) = 0

Set each factor to zero:

  1. x + 5 = 0 → x = -5
  2. x - 3 = 0 → x = 3

So, the x-intercepts are (-5, 0) and (3, 0).

Answer: B. (-5, 0) and (3, 0)

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