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A mysterious box is delivered to the dinner party you are attending. The label on the box says that the volume of a box is the function f(x) = x3 + 3x2 – 10x – 24. To open the box, you need to identify the correct factors of f(x). Party-goers offer up solutions, and it is your job to find the right ones. Their suggestions are: (x – 1) (x + 2) (x – 3) (x + 4) (x + 6) (x – 12) List the correct factors. Then justify your selections with complete sentences
@undeadknight26
?1
f(-2)=(-2)^3+3(-2)^2-10(-2)-24=-8+12+20-24=-32+32=0 x=-2 or x+2 is a factor. |dw:1394813084252:dw| \[x^2+x-12=x^2+4x-3x-12=x(x+4)-3(x+4)=(x+4)(x-3)\]
is only + - 2 a factor?
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f(x)=(x+2)(x+4)(x-3)
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