pls help me (i got this from khan academy) f(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, left parenthesis, 4, x, minus, 8, right parenthesis, left parenthesis, x, plus, 6, right parenthesis has zeros at x = − 6 x=−6x, equals, minus, 6, x = − 1 5 x=− 5 1 x, equals, minus, start fraction, 1, divided by, 5, end fraction, and x = 2 x=2x, equals, 2. What is the sign of f ff on the interval − 1 5 < x < 2 − 5 1

Negative

Step-by-step explanation:

f(x) = (5x + 1)(4x - 8)(x + 6)

     x = -1/5   x = 2    x = -6

Zeros (in order): -6, -1/5, 2

Now, let's look at the End Behavior of the function.

The leading coefficient is positive (5x)(4x)(x) = +20x³ so the right side of the graph goes toward positive infinity.

The Degree is odd (degree = 3) so the left side is opposite of the right side which means it goes toward negative infinity.

  ooo

        -6             -1/5               2

  --             +                 --               +

y-values for -1/5 < x < 2 is NEGATIVE

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step-by-step explanation: