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fredd [130]
3 years ago
10

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3 Which

of the following functions best represents the graph?
a f(x) = x3 + x2 − 9x − 9
b f(x) = x3 + 4x2 − x − 4
c f(x) = x3 + 3x2 − 3x − 9
d f(x) = x3 + 2x2 − 4x − 8
Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

Option A is correct .i.e, f(x) =  x³ + x² - 9x - 9 represent the graph best.

Step-by-step explanation:

Given: x-intercepts of cubic polynomial are -3 , -1 and 2

To find the cubic polynomial, f(x)

We know the x-intercept of cubic polynomial are the zeroes of the polynomials.

So the factors of cubic polynomials we get from zeroes are ( x + 3 ) , ( x + 1 ) and ( x - 3 )

Cubic polynomial , f(x) = ( x + 3 ) ( x + 1 ) ( x - 3 )

                                     = ( x + 3 ) ( x - 3 ) ( x + 1 )

                                         (using identity: (a-b) (a+b) = a² - b²)

                                     = ( x² - 9 ) ( x + 1 )  

                                      = x² ( x + 1 ) - 9 ( x + 1 )

                                     = x³ + x² - 9x - 9

Therefore, Option A is correct .i.e, f(x) =  x³ + x² - 9x - 9 represent the graph best.

bagirrra123 [75]3 years ago
4 0
The correct answer is Choice A.

If you graph the function on a graphing calculator, you will find that it matches all of the necessary parts. If falls to the left and rises to the right.

It also has zeros at -3, -1 and 3.
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5

Step-by-step explanation:

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The sum of the ages of Mr Lin and his son Ethan is 38 years. In three years' time, Mr Lin will be three times as old as his son.
Sati [7]

Answer:

Mr.Lin's present age is 30 years now. His son is 8 years old now.

Step-by-step explanation:

Let L = Mr.Lin's present age,

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First equation  is

L + S = 38.       (1)

The second equation is  

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From (1), express S = 38-L and substitute it into (2). You  will get

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8 0
3 years ago
4m^2-5m when m= -4 solve
yawa3891 [41]

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84

Step-by-step explanation:

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1 year ago
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Solve i + j + t (3i - j) = -i + s (j)<br> In the context of Vector Equations of a Line
Oksana_A [137]

Answer:

r = i + j + (-2/3)(3i - j)

Step-by-step explanation:

Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant

if a = i + j ; b = t(3i - j) and r = -i +s(j)

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so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j

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2 years ago
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