Question

what are the factor of 2x^3 + 6x^2 - 4x + 9

Answer 1

2x3 + 6x2 - 4x + 9

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 :

Equation at the end of step 1 :

(((2 • (x3)) + (2•3x2)) - 4x) + 9

Step 2 :

Equation at the end of step 2 :

((2x3 + (2•3x2)) - 4x) + 9

Step 3 :

Checking for a perfect cube :

3.1 2x3+6x2-4x+9 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3+6x2-4x+9

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

Group 1: -4x+9

Group 2: 2x3+6x2

Pull out from each group separately :

Group 1: (-4x+9) • (1) = (4x-9) • (-1)

Group 2: (x+3) • (2x2)