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Yuri [45]
2 years ago
12

+3 + 3x2 – 2X-6 is this a prime polynomial

Mathematics
2 answers:
Rashid [163]2 years ago
8 0
Yeah mate, but I don’t know if you need to specifically say but it’s actually an Amazon Prime next day delivery polynomial
lesya692 [45]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

This is not a prime polynomial as it can be factored into polynomials of lower degree.

Given

x³ + 3x² - 2x - 6 ( factor the first/second and third/fourth terms )

= x²(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 2) ←can be reduced further as a difference of squares

= (x + 3)(x - \sqrt{2} )(x + \sqrt{2} )

You might be interested in
The expression -16t ^2+ 48t can be written as the product of -16t with which of the following?
Gelneren [198K]

Answer:

4) t -3

Step-by-step explanation:

-16t² = -16 * t * t

48t = (-16t) * (-3)

-16t² + 48t = (-16t) * t + (-16t) *(-3)

                = (-16t) [ t - 3]

8 0
3 years ago
I need x and GH there is two answer to this!! Please help
g100num [7]

Answer:

<em>15</em>

Step-by-step explanation:

9x - 3 = \frac{(5x + 1) +19}{2}

2(9x - 3) = 5x + 1 + 19

18x - 6 = 5x + 20

13x = 26

x = 2

<em>GH</em> = 9(2) - 3 <em>= 15</em>

8 0
2 years ago
Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i
Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of 195112 in^{3}

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

V'=348w-6w^{2} \\V'=(348-6w)(w)

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

0=(348-6w)(w)\\w_1=0\\w_2=348/6=58

The first value (w=0) will leave us with a 'height-only box', so the answer must be w=58 in

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = 195112 in^{2}

8 0
3 years ago
Please help me quickly first person to answer gets branliest
ivolga24 [154]
The answer should be 117.6. tell the teacher that the amount of meters is wrong or the answers are wrong

sorry :(
3 0
3 years ago
A trend was observed in the growth of population in saya islands. The population tripled every month. Initially, the population
balandron [24]

The population of Saya islands after 4 months will be 8,100 people.

It is given in the question that:-

Initial population of Saya island = 100 people

The population of the Saya island tripled every month

We have to find the population of the island after 4 months.

The population of Saya island after 1 month = 100*3 = 300 people.

The population of Saya island after 2 months = 300*3 = 900 people.

The population of Saya island after 3rd months = 900*3 = 2,700 people.

The population of Saya island after 4th months = 2700*3 = 8,100 people.

To learn more about population, here:-

brainly.com/question/27991860

#SPJ4

6 0
1 year ago
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