One of the factors of 6x3 − 864x is
a.4
b. x2
c.x+12
d. x-8
Answers
Answered by
3
Answer:
c.x+12
Step-by-step explanation:
6x
3
=6x⋅x
2
;
-864x=6x\cdot (-144).−864x=6x⋅(−144).
Then
6x^3-864x=6x(x^2-144).6x
3
−864x=6x(x
2
−144).
You know that 144=12^2.144=12
2
. Use the formula for the difference of squares:
x^2-144=x^2-12^2=(x-12)(x+12).x
2
−144=x
2
−12
2
=(x−12)(x+12).
Therefore,
6x^3-864=6x(x-12)(x+12).6x
3
−864=6x(x−12)(x+12).
Answer: correct choice is C.
Answered by
0
Answer:
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