3 years ago

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

1 answer:

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

What is the volume of the right prism?

Tasya [4]

Volume=legnth times widht times height
since this is a rectangle and multiplication is commutative

doesn't matter what order wr multiply
V=5*5*12
V=300 in^3

4 0

3 years ago

How many solutions are there to the equation y = 14x – 9? Plz HELP

dem82 [27]

D is correct because you could put in a value for x and get a true value for y

exg
x=3
y=14(3)-9
y=42-9
y=33

8 0

3 years ago

Using the formula r=d/t where d is the distance in miles, r is the rate and t is the time in hours at which rate must you travel

valentina_108 [34]