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ElenaW [278]
3 years ago
14

When (x+2)^6 is written as a polynomial, what is the coefficient of the term containing x^4

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

c-120

Step-by-step explanation:

You might be interested in
What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
15w, when w = 12 I need help plz
Brrunno [24]

Answer:

180...

Step-by-step explanation:

15 x 12 = 180

6 0
2 years ago
Read 2 more answers
How would I solve #20
Temka [501]

Answer:

angle 1 = 76 degrees

Step-by-step explanation:

2 angles side by side on a straight line should equal 180 degrees.

angle 1 + 104 = 180

angle 1 = 76

6 0
3 years ago
All of the following are equivalent except<br> O 4y<br> O (4)<br> 04.y<br> O 4+ y
barxatty [35]

Answer:

I think it's 4y

Step-by-step explanation:

I think it's 4y is because if y = 0 they all work but 4y which is 0 while all the others are 4

3 0
3 years ago
A machine laying underground cable can place 125 meters of cable in 5 minutes.What is the rate per minute?
kaheart [24]

Answer:

25 m of cable per minute

Step-by-step explanation:

The unit rate is:

125 m of cable

---------------------- = 25 m of cable per minute

      5 minutes

7 0
3 years ago
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