Question

Factorise : x3– 10x2 + 23x – 14​

Answer 1

Answer:

x = 7

x = 2

x = 1

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((x3) - (2•5x2)) + 23x) - 14 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-10x2+23x-14 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-10x2+23x-14

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

Group 1: 23x-14

Group 2: x3-10x2

Pull out from each group separately :

Group 1: (23x-14) • (1)

Group 2: (x-10) • (x2