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Kitty [74]
2 years ago
6

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

Mathematics
1 answer:
Artist 52 [7]2 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)
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2 years ago
7(2p+3)-8=6p+29<br> Please some help me solve this equation with steps.
stepan [7]
So,

First, I'd like to note that it is required to show work.  You shouldn't need to ask for steps.

7(2p + 3) - 8 = 6p + 29

Distribute
14p + 21 - 8 = 6p + 29

Collect Like Terms
14p + 13 = 6p + 29

Subtract 6p from both sides
8p + 13 = 29

Subtract 13 from both sides
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Divide both sides by 8
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Check
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Simplify inside the parentheses first.
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7(7) - 8 = 6(2) + 29

Now, distribute.
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Collect Like Terms
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S = { 2 }
4 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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