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Veronika [31]
2 years ago
6

Rewrite the expression by factoring out the greatest common factor: 5x + 15 *

Mathematics
1 answer:
pshichka [43]2 years ago
4 0

Answer:

5(x+3)

Step-by-step explanation:

The greatest common factor from both numbers is 5, so you divide them both by 5 and put the 5 outside of the parenthesis and then put x+3 inside the parenthesis because 5x divided by 5 is x and 15 divided by 5 is 3.

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Write the simplest polynomial function with the given roots 2i, square root of 3, and 4
Volgvan

Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3)      <<< Possible answer

but this can be reduced even further.

  • (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
  • (x + 2i)(x - 2i) = x^2 - 4(i)^2
  • (x + 2i)(x - 2i) = x^2  + 4.               Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

5 0
3 years ago
Complete each function table,then graph the function
babunello [35]

The y values from:

1. ₋6

2. ₋3

3. 0

4. 3

Given the x values and y value as y = 3x

1. when x = ₋2 then y = 3x

y = 3(₋2)

y = ₋6

2. when x = ₋1 then y = 3x

y = 3(₋1)

y = ₋3

3. when x = 0 then y = 3x

y = 3(0)

y = 0

4. when x = 1 then y = 3x

y = 3(1)

y = 3

therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.

Learn more about Coordinate geometry here:

brainly.com/question/11234618

#SPJ9

7 0
1 year ago
Write the number 5 million 4 thousand three hindered in standard form
Sphinxa [80]

Answer:

The ans is 5004300

In standard form,

5004300. Five Millon four thousand and three hundred.

(hope that helped can i plz have brainlist it wil make my day :D hehe)

Step-by-step explanation:

7 0
2 years ago
The<br> Calculate the perimeter of<br> Following Shape:<br> 8cm<br> 5cm
mina [271]

Answer:

where is your shape

Step-by-step explanation:

firstly give shape then we find out perimeter

na

7 0
2 years ago
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Do number 20 please i need help
Sedaia [141]
The store's sales equate to $6000
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