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algol13
3 years ago
5

What is the quotient when −3x3 + 5x + 14 is divided by x − 2?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
6 0
The answer is A. -3x2 - 6x - 7
Anika [276]3 years ago
6 0

Answer:

-3x^{2} -6x-7

Step-by-step explanation:

The given expression is :

\frac{-3x^{3}+5x+14}{x-2}

Factoring -3x^{3}+5x+14

Factor out common term -1

3x^{3}-5x-14

Now dividing leading coefficients of numerator and divisor.

\frac{3x^{3}}{x}=3x^{2}

Multiplying x-2 with 3x^{2} = 3x^{3}-6x^{2}

Subtracting 3x^{3}-6x^{2} from 3x^{3}-5x-14

we get 6x^{2} -5x-4

Therefore, \frac{-3x^{3}+5x+14}{x-2} = 3x^{2} +\frac{6x^{2}-5x-14}{x-2}

Now repeating these same steps until (x-2) is factored out, we get the quotient as :

-3x^{2} -6x-7

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Veronika [31]

Answer: t = 33

Step-by-step explanation:

t + 5 = 38

    -5   -5      subtract 5 from both sides in order to isolate t

t = 33

5 0
3 years ago
Read 2 more answers
1. Alexa drove 5 miles from home to school. Then, taking a different route, she drove 4 3/5 miles back home. What was the total
jenyasd209 [6]

Answer:

5x4 3/5=23

Step-by-step explanation:

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3 0
3 years ago
Shaun has a set of blocks. When he separates the blocks into groups of 21, he has 34 groups of blocks. How many groups of blocks
joja [24]

So if I had this problem I would multiply 21 x 34= 714 then I would divide it by 14 which would get me 51. There would be 51 blocks in each group!

8 0
4 years ago
| 1:3=4:<br> How do I awnser this
Dennis_Churaev [7]

Answer: 1/3=4

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4 0
3 years ago
What is the distribution property of 4 times 37
hjlf

Answer:

  4(30 +7) = 120 +28 = 148

Step-by-step explanation:

When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.

  4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148

___

You can also break apart 37 other ways:

  4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148

  4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148

Or, you can break apart 4:

  37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148

_____

The distributive property is usually written in generic form as ...

  a(b+c) = ab +ac

Then you may want to stop after the first couple of steps:

  4(30 +7) = 4·30 +4·7

We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.

7 0
3 years ago
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