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Nikitich [7]
3 years ago
4

A student divided f(x) = 3x^3 + 3x^2 + 5x - 4 by x + 2 and found the remainder was r = -6. Based on the remainder theorem, what

can be concluded about f (x)?
Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                    x-(3*x^3+8*x^2+5*x-7)=0 

Step by step solution :Step  1  :Equation at the end of step  1  : x-((((3•(x3))+23x2)+5x)-7) = 0 Step  2  :Equation at the end of step  2  : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step  3  :Step  4  :Pulling out like terms :

 4.1     Pull out like factors :

  -3x3 - 8x2 - 4x + 7  = 

 -1 • (3x3 + 8x2 + 4x - 7) 

Checking for a perfect cube :

 4.2    3x3 + 8x2 + 4x - 7  is not a perfect cube 

Trying to factor by pulling out :

 4.3      Factoring:  3x3 + 8x2 + 4x - 7 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  3x3 - 7 

Group 2:  8x2 + 4x 

Pull out from each group separately :

Group 1:   (3x3 - 7) • (1)

Group 2:   (2x + 1) • (4x)

Step-by-step explanation:

You might be interested in
Round to the nearest thousandth: 6.49993
zavuch27 [327]

Answer:

6.5

What is the Nearest 1000th?

Nearest thousandth is the third digit after the decimal point.

How to Calculate Rounding to the Nearest 1000th?

If the digit after thousandth is greater than or equal to 5, add 1 to thousandth. Else remove the digit. Example

124.5864

The fourth digit of right of decimal point is 4 which less than 5

So remove fourth digit

Result = 124.586

Step-by-step explanation:

Hope that helped

5 0
3 years ago
kantabai bought 1/2 kg tea and 5 kg sugar from a shop .she paid rupess 50 as return fare for rickshaw .total expense was rupess
r-ruslan [8.4K]

Answer:

40 Rs per kg.

Step-by-step explanation:

solution

Let the rate of tea be x Rs per kg and that of sugar be y Rs per kg.

When Kantabai bought the items by going to the shop,

3/2x+5y+50=700

⇒3x+10y=1300....(I)

When Kantabai bought the items online then

2x+7y=880......(II)

Multiplying (I) with 2 and (II) with 3 we get

6x+20y=2600......(III)

6x+21y=2640.......(IV)

eq.(IV)−(III)

y=40

Putting the value of y =40 in (II)

2x+7(40)=880

⇒2x=880−280=600

⇒x=300

Thus, tea is at 300 Rs per kg and sugar is 40 Rs per kg.

8 0
2 years ago
An airplane's altitude changes -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?
Sveta_85 [38]
<h2>Answer:</h2>

<u>The mean altitude will be</u><u> -54 per minute</u>

<h2>Step-by-step explanation:</h2>

We are given with altitude change as -378 feet over 7 minutes

Now

We need feet per minute

So -378 / 7 will give us the altitude change per minute

-378 / 7 = -54

Therefore the mean change of altitude in feet per minute is -54 per minute

8 0
3 years ago
Is this statement true or false? If AB+BC=AC, then AB=BC​
Aneli [31]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
Round to the nearest hundreth
8_murik_8 [283]

Answer:

? = 1.40

Step-by-step explanation:

tan 35= x/2

x = 2 tan 35 = 1.40

6 0
3 years ago
Read 2 more answers
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