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8_murik_8 [283]
3 years ago
14

Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6

Mathematics
1 answer:
topjm [15]3 years ago
4 0

9514 1404 393

Answer:

  • y-intercept: (0, -6)
  • x-intercepts: (-3, 0), (-1, 0), (1, 0)

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

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7 0
3 years ago
NEED ANSWER FAST PLASE FAST
Dovator [93]

Answer:

D. no solution

Step-by-step explanation:

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2 years ago
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6 0
3 years ago
A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members c
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<span>If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

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__________________
</span>550 = 20 * a + 25 * s

<span> 550 = 20 * (25 - s) + 25 * s</span>

550 = 20 * 25 - 20 * s + 25 * s

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