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Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞

Answer :

Mhanifago

Answer:

  • b and d

Step-by-step explanation:

Find zero's:

  • x = -7
  • x = -3/2
  • x = -5

The intervals:

  • x < -7,  all negative, the result is negative
  • x is between -7 and -5, two negatives, the result is positive
  • x is between -5 and -3/2, one negative, the result is negative
  • x is greater than -3/2, all 3 positives, the result is positive

As we see correct choices are b and d

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