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Lena [83]
3 years ago
11

A student used synthetic division to divide x^3-3x^2-2x by x+1

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

The Synthetic Division and Remainder theorem is as shown below

Step-by-step explanation:

Given:

Polynomial x^{3} -3x^{2} -2x divided by x+1

Solution:

For Synthetic Division we need to have coefficients,

So  the coefficients are

1, -3, 2, 0

and we have x+1

∴    -1   <u>1   -3  2   0      </u>

           <u>    -1   4   -6      </u>

           1   -4  6  -6

Now the remainder is -6  by synthetic division

In Remainder theorem substitute x=-1 in the polynomial we will get the required remainder.

(-1)^{3} -3(-1)^{2} -2(-1)

∴ = -1 -3-2

∴ = -6

which is same as in synthetic division.

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A realtor makes a commission of $11,400 on a $190,000 house he sells. What is his commission rate?
Reika [66]
So bassically
his commision rate is
x% times 190000=comission
so x% times 190000=11400
divide both sdies by 190000
x%=11400/190000
solve for x percent
11400/190000=114/1900=3/50
x%=3/50
percent means parts out of 100 so x%=x/100
x/100=3/50
3/50=6/100
x/100=6/100
multiply both sdies by 100
x=6

the commision rate is 6%
4 0
3 years ago
Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.
KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50

Dividing both sides by 2

\frac{2x}{2}=\frac{7.50}{2}\\x=3.75

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11821063
  • brainly.com/question/11871074

#LearnwithBrainly

3 0
3 years ago
Please help! will choose brainiest
SpyIntel [72]
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3 years ago
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solniwko [45]
X-3/8=-1/4
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4 0
3 years ago
Read 2 more answers
Help me please......
Ganezh [65]
64.99x0.35=22.75 64.99-22.75=42.24
5 0
3 years ago
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