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meriva
4 years ago
12

Factor by grouping x^3-4x^2+7x-28

Mathematics
1 answer:
Komok [63]4 years ago
5 0

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms:  x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms:  7(x - 4).  

Note how (x - 4) is a factor of the entire four-term expression given above.

Then:   x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

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Question 2:
Helga [31]

Answer:

15mins

Step-by-step explanation:

Given that he worked out a total of 360mins, and jogged 45mins/day:

Jog \ Time=Total \ Time- Bike \ Time\\=360-(45\times6)\\=90min

Therefore, Allen jogged a total of 90mins in the past one week. To calculate the time jogged each day, we divide the total jog time by number of days jogged:

t_d=Total \Time/(No \of \ Days)\\=90/6\\=15mins

Allen jogged 15mins per day.

6 0
3 years ago
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Vera_Pavlovna [14]

Answer: x² + x + 8= 0

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7 0
3 years ago
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natka813 [3]

Answer:

When x = 6.

Step-by-step explanation:

WE need to solve the system:

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y = -2x + 4

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0 = x^2 - 4x - 4 - 2x + 4

x^2 - 6x = 0

x(x - 6) = 0

x = 0, 6.

6 0
3 years ago
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umka2103 [35]
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