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ExtremeBDS [4]
3 years ago
5

Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending power

s of x. (4x^2 - 10x -24) (2x + 3)

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0

Answer with explanation:

 The two polynomial in fraction is:

     =\frac{4x^2-10x-24}{2x+3}\\\\=\frac{4x^2-16x+6 x -24}{2x+3}\\\\=\frac{4 x \times (x-4)+6 \times (x-4)}{2 x+3}\\\\=\frac{(4 x+6)(x-4)}{2 x+3}\\\\=\frac{2\times(2 x+3)(x-4)}{2x+3}\\\\\text{Cancelling (2x+3) from numerator and denominator}\\\\=2 \times (x-4)\\\\=2 x-8

Answer=2 x-8

balandron [24]3 years ago
4 0
By synthetic division, the quotient (4x^2 -10x -24)/(2x +3) is 2x -8.

___
You have not actually said what division you want performed.

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Answer:

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Luda [366]

Answer:

O : (-3,-4.5)

Step-by-step explanation:

center of circle: O (x.y)

Radius (r) = OA = OB = OC

r² = (x - (-1))² + (y - (-2))² ---- OA²  

r² = (x - (-5))² + (y - (-2))² ---- OB²

r² = (x - (-1))² + (y - (-7))² ---- OC²

OA²=OB² : (x - (-1))² + (y - (-2))² =  (x - (-5))² + (y - (-2))²

(x+1)² - (x+5)² = 0       x²+2x+1-x²-10x-25 = 0

8x = -24

x = -3

OA² = OC²   (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²

y²+4y+4 = y² +14y +49

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Answer:

Option D. y = 5x + 1

Step-by-step explanation:

From the question given above, the following data were:

Input (x) >>>>>> Output (y)

0 >>>>>>>>>>>> 1

1 >>>>>>>>>>>> 6

2 >>>>>>>>>>>> 11

3 >>>>>>>>>>>> 16

4 >>>>>>>>>>>> 21

To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:

For Option a

y = 3x + 3

x = 0

y = 3(0) + 3

y = 0 + 3

y = 0

y = 3x + 3

x = 1

y = 3(1) + 3

y = 3 + 3

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For Option b

y = 5x – 4

x = 0

y = 5(0) – 4

y = 0 – 4

y = – 4

y = 5x – 4

x = 1

y = 5(1) – 4

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For Option c

y = 10x – 9

x = 0

y = 10(0) – 9

y = 0 – 9

y = – 9

y = 10x – 9

x = 1

y = 10(1) – 9

y = 10 – 9

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For Option d

y = 5x + 1

x = 0

y = 5(0) + 1

y = 0 + 1

y = 1

y = 5x + 1

x = 1

y = 5(1) + 1

y = 5 + 1

y = 6

From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.

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