Question

Factorise:
(5) 6x3 - 23x2 + 29x - 12
(6) 6x3 + 7x2 - 14x - 15
(7) 8x3 - 26x2 + 13x + 5
(8) 12x3 + 17x2 + 3x - 2​

Answer 1

Answer:

1) -376 2) 242

Step-by-step explanation:

3) and Step  1  :

Equation at the end of step  1  :

(((8 • (x3)) - (2•13x2)) + 5x) + 3

Step  2  :

Equation at the end of step  2  :

((23x3 - (2•13x2)) + 5x) + 3

Step  3  :

Checking for a perfect cube :

 3.1    8x3-26x2+5x+3  is not a perfect cube

Trying to factor by pulling out :

 3.2      Factoring:  8x3-26x2+5x+3 

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

Group 1:  5x+3 

Group 2:  8x3-26x2 

Pull out from each group separately :

Group 1:   (5x+3) • (1)

Group 2:   (4x-13) • (2x2)

Bad news !! Factoring by pulling out fails

Step by step solution :

4)ans

Step  1  :

Equation at the end of step  1  :

(((12 • (x3)) - 17x2) + 3x) + 2 = 0

Step  2  :

Equation at the end of step  2  :

(((22•3x3) - 17x2) + 3x) + 2 = 0

Step  3  :

Checking for a perfect cube :

 3.1    12x3-17x2+3x+2  is not a perfect cube

Trying to factor by pulling out :

 3.2      Factoring:  12x3-17x2+3x+2 

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

Group 1:  3x+2 

Group 2:  12x3-17x2 

Pull out from each group separately :

Group 1:   (3x+2) • (1)

Group 2:   (12x-17) • (x2)

Bad news !! Factoring by pulling out fails :