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Naddika [18.5K]
3 years ago
10

Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = 3x4 + 4x3 + 13x2 + 16x + 4

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
Don't try anything positive.
f(-1) = 3 - 4 + 13 - 16 + 4 = 0 This one works so one factor is (x + 1)
f(-1/3) = gives a 0. So another factor is 3x + 1
The last factor is found by dividing 3x^2 + 4x + 1 into the original equation. That's (3x + 1)(x + 1) expanded.
When you do that you find that the last factor is (x^2 + 1)
You can see how this is factored at Wolframalpha dot com
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Complete the
nydimaria [60]

Answer:

8th: 23

11th: 32

15th: 44

22nd: 65

18th: 53

Step-by-step explanation:

The pattern is adding 3 each time:

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65

Hope it helps!

4 0
3 years ago
The sticker has a base of 6.5cm and a height of 10.1. What is the area of the sticker?
coldgirl [10]

Answer:

65.65

Step-by-step explanation:

1) Carry over the decimals in each number.

2) Multiply. This will give you 6,565.

3) Carry the decimal place and count how many times you moved it over. (2=1+1) Therefore, it gives you 65.65

I hope this helped

4 0
3 years ago
If Hillary can read 560 words in 7 minutes how many words can Hilary read in 1 minute
Elza [17]
To find the number of words she can read per minute, we would do 560 divide by 7 minutes

560/7 = 80 words per minute

Hope this helps
3 0
3 years ago
Read 2 more answers
According to the graph about _____ of households in Africa owns a computer in 2008.
inna [77]

Answer:

According to the graph about <u>5 percent</u> of households in Africa owns a computer in 2008.

2013 about 1/3 of all households in <u>Asia</u> had a computer.

The number of households with a computer is <u>increasing</u> in all regions overtime.

8 0
3 years ago
Find the volume of the given solid: Bounded by the cylinder y^2+z^2=4 and the planes x = 2y, x = 0, z = 0 in the first octant.
rodikova [14]

The solution would be like this for this specific problem:

<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [ 2·r² ] dr </span>
<span>= (2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>

So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0
3 years ago
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