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maxonik [38]
3 years ago
14

Polynomial division

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
This is a great place and time to apply synthetic division.  Since you are dividing the 3rd order poly by (a+2), let the divisor in synth. div. be -2.

Then:
      _________________
 -2 /   1   6   12    8

     _____-2_-8    -8____________
          1   4     4     0

Since there is no remainder, -2 is a root and (x+2) is a factor of the poly.

The quotient comes from  those coefficinets 1  4  4  

and is    1a^2 + 4a + 4, whose factors are (a+2)^2.
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Find the x- and y-intercept of the line x+4y=36
blagie [28]

Answer:

x=36

y=9

Step-by-step explanation:

Plug in 0 for x to find the y-intercept

0 + 4y = 36

4y = 36

y = 9

y-intercept (0, 9)

Plug in 0 for y to find the x-intercept

x + 4(0) = 36

x = 36

x-intercept (36, 0)

4 0
3 years ago
Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
Solve for x: 3x − 2(6 − x) = 7x + 2(5 + x) − 6
Ugo [173]
X=-4 I hope this helps

3 0
4 years ago
a construction worker needs to put a rectangular window in the side of a building. he knows from measuring that the top and bott
Cloud [144]
The other diagonal would be 13 feet as well because it is a rectangle.
5 0
3 years ago
Read 2 more answers
Use the grouping method to factor this polynomial. <br><br> x^3+2x^2+7x+14
Eva8 [605]

x

3

+

2

x

2

−

7

x

−

14

x3+2x2-7x-14

Factor out the greatest common factor from each group.

Tap for more steps...

x

2

(

x

+

2

)

−

7

(

x

+

2

)

x2(x+2)-7(x+2)

Factor the polynomial by factoring out the greatest common factor,  

x

+

2

x+2.

(

x

+

2

)

(

x

2

−

7

)

hope i helped! (sorry if wrong)

3 0
3 years ago
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