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3 years ago

What is the complete factorization of the polynomial below? x3 + x2 + 4x + 4

Mathematics

1 answer:

suter [353]3 years ago

5 0

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Step by step solution :

Step 1 :

Checking for a perfect cube :

1.1 x3+x2-4x-4 is not a perfect cube

Trying to factor by pulling out :

1.2 Factoring: x3+x2-4x-4

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x3+x2

Group 2: -4x-4

Pull out from each group separately :

Group 1: (x+1) • (x2)

Group 2: (x+1) • (-4)

-------------------

Add up the two groups :

(x+1) • (x2-4)

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Rounding up

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3 years ago

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Pls. see attachment.

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