Question

One of the factors of 6x3 − 864x is
a.4
b. x2
c.x+12
d. x-8

Answer 1

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.

Answer 2

Answer:

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