Question

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

Answer 1

C. (x + 1)(x + 2i)(x - 2i).

Answer 2

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)

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Add up the two groups :

(x+1) • (x2-4)