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sophiav9627
28.09.2019 •
Mathematics
Length of a bed, using a mental benchmark, width of a door) how many yards?
need answer asap
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Ответ:
leingth of a bed 2 to 3 yards
Ответ:
The x-intercepts are at (4,0), (2,0), and (1,0) and the y-intercept is at (0,-8).
Step-by-step explanation:
The cubic function is f(x) = x³ - 7x² + 14x - 8 (1)
Now, one factor of the function is (x - 4).
Then the other factors will be obtained as
x³ - 7x² + 14x - 8
= x³ - 4x² - 3x² + 12x + 2x - 8
= x²(x - 4) - 3x(x - 4) + 2(x - 4)
= (x - 4)(x² - 3x + 2)
= (x - 4)(x - 1)(x - 2)
Therefore, f(x) = (x - 4)(x - 1)(x - 2)
Now, for x-intercept f(x) = 0 = (x - 4)(x - 1)(x - 2)
⇒ x = 4 or x = 2 or x = 1
Therefore, the x-intercepts are at (4,0), (2,0), and (1,0).
Again, for y-intercept, x = 0, then from equation (1) we get,
f(0) = - 8
So, y-intercept is at (0,-8). (Answer)