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