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Dmitrij [34]
3 years ago
9

The degree of the polynomial function f(x) is 4 The roots of the equation f(x)=0 are -4,-1, 2 and 5 Which graph could be the gra

ph of f(x)

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.

Thus, the polynomial will have form

f(x)=a(x+4)(x+1)(x-2)(x-5), where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.

The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).

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Solve for x: 3/4x+5/8=4x
kompoz [17]
So, you have 3/4x + 5/8 = 4x. We can do this in two ways. Since fractions are harder to deal with, we can turn the fractions into whole numbers.

First we need to find the LCD (Least Common Denominator) between 4 and 8, which is 8. So multiply the 3/4x by 2/2, which gives you an equivalent fraction of 6/8x.

So now we have 6/8x + 5/8 = 4x. Now multiply both sides by 8, to get rid of the denominators of the fractions. That gives us 6x + 5 = 32x. Now use the subtraction property of equality to subtract 6x from both sides giving us 5 = 26x. 

Now you can use the division property of equality to divide 26 on both sides, which gives us x = 5/26.

Hope this helps. :D Feel free to ask any other questions, and if you have any questions about my explanation, don't hesitate to ask.
6 0
3 years ago
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sp2606 [1]
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7 0
3 years ago
Question: Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional
Dima020 [189]
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6 0
2 years ago
Read 2 more answers
-3(2x^2+ax+b)=-6x+12x-15 what is the value of a and b
bonufazy [111]
B= -2x+5-2x^2-ax
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5 0
3 years ago
- The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the
disa [49]

Answer: 45ft.

Step-by-step explanation:

Let assigned the value of x to the unknown lenght.

Therefore, the Length = xft

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Now , to get the length, we equate both together and then solve for x .

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To get x, we multiply both side by 3

x = 45ft

The of the pool = 45ft.

7 0
3 years ago
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