2. Which is the complete factorisation of 24x3 - 12x2?
Answers
Step-by-step explanation:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP1:Equation at the end of step 1
((24 • (x3)) - (22•3x2)) + 7x
STEP 2 :
Equation at the end of step2:
((23•3x3) - (22•3x2)) + 7x
STEP3:
STEP4:Pulling out like terms
4.1 Pull out like factors :
24x3 - 12x2 + 7x = x • (24x2 - 12x + 7)
Trying to factor by splitting the middle term
4.2 Factoring 24x2 - 12x + 7
The first term is, 24x2 its coefficient is 24 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 24 • 7 = 168
Step-2 : Find two factors of 168 whose sum equals the coefficient of the middle term, which is -12 .
-168 + -1 = -169 -84 + -2 = -86 -56 + -3 = -59 -42 + -4 = -46 -28 + -6 = -34 -24 + -7 = -31
For tidiness, printing of 26 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x • (24x2 - 12x + 7)