1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kitty [74]
3 years ago
6

Divide (Factor Completely) x3 +7x2 -4x -28 by (x+7)

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
                         x^2 - 4
                     ------------------------------
          x + 7   |   x^3 + 7x^2 - 4x - 28
                         x^3 + 7x^2
                     ------------------
                                        0 - 4x - 28
                                            -4x - 28
                                         -------------
                                                      0

Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)

x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)

The complete factoring is:

x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
You might be interested in
A tent was marked up 150% from an original cost of $52. Last Friday, Ethan bought the tent and paid an additional 10% in sales t
Savatey [412]

Answer

Find out the  what was his total cost .

To prove

As given

A tent was marked up 150% from an original cost of $52.

Last Friday, Ethan bought the tent and paid an additional 10% in sales tax.

Than the equation becomes

150 % is written in the decimal form .

=\frac{150}{100}

= 1.5

10 % is written in the decimal form .

=\frac{10}{100}

= 0.1

cost of the tent when 150% marked up from origianl price = 1.5× 52

                                                                                                = $ 78


cost of the tent = origianl cost + 150% marked up from origianl price

                                  =  $52 + $78

                                  = $ 130

Sales price on the tent = $130 × 0.1

                                      = 13

Total cost of the tent = $130 + $13

                                  = $143

Therefore the cost of the tent is $143.

3 0
3 years ago
Read 2 more answers
-5=7x-1/2 (8x+16) = what
irga5000 [103]

Just substitute 1 as the value and you will get your answer

7 0
3 years ago
Find the area of △ABC with side lengths b = 6 and c = 17, and included angle A = 135∘. Round your answer to the nearest tenth.
Levart [38]

Answer:

A=36.1\ units^2

Step-by-step explanation:

we know that

The area of a triangle applying the law of sines is given by the formula

A=\frac{1}{2}(b)(c)sin(A)

where

A is the included angle between the sides b and c

substitute the given values

A=\frac{1}{2}(6)(17)sin(135^o)=36.1\ units^2

4 0
3 years ago
SOMEONE HELP ME REALLY FAST !!!!
nadezda [96]

Answer:

just draw the same rectangle as on the left on the right

Step-by-step explanation:

but when finding area instead of unitsx2 use unitsx4

6 0
3 years ago
The classroom has 10 desks with boys and<br> girls. Show one combination of boys and<br> girls
Anna35 [415]

Answer:

one combination could be 6 girls and 4 boys

3 0
3 years ago
Other questions:
  • Solve by the substitution method <br><br> y=3x-12<br> 2x-3y=-13
    10·2 answers
  • Find x and y for a triangle with 60° and 30​
    8·2 answers
  • PLZZZZZZ HELPPPPPPPPPPPPPP
    8·1 answer
  • The drama club needs a plywood box with these dimensions: 70 cm by 40 cm by 50 cm
    14·1 answer
  • -3/5 x = 6<br><br>what is x ? ​
    12·2 answers
  • ❗️PLEASE HELP ❗️<br> Bill makes 30 flags in 3 3/4 hours. <br> How many flags can he make in 1 hour?
    8·1 answer
  • What is the volume of the composite figure?
    11·2 answers
  • A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for
    12·1 answer
  • Please help ill mark brainliest
    14·2 answers
  • How do I answer this question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!