Question

factorise 8 X cube - 1 by X cube - 12 X + 6 by X​

Answer 1

Step-by-step explanation:

8x3+12x2+6x+1=0

One solution was found :

x = -1/2 = -0.500

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((8 • (x3)) + (22•3x2)) + 6x) + 1 = 0

Step 2 :

Equation at the end of step 2 :

((23x3 + (22•3x2)) + 6x) + 1 = 0

Step 3 :

Checking for a perfect cube :

3.1 Factoring: 8x3+12x2+6x+1

.

8x3+12x2+6x+1 is a perfect cube which means it is the cube of another polynomial

In our case, the cubic root of 8x3+12x2+6x+1 is 2x+1

Factorization is (2x+1)3

Equation at the end of step 3 :

(2x + 1)3 = 0

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