By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
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When you divide fractions, you want to use keep change flip.
You keep the 1st fraction, change the division sign into a multiplication sign, then flip the last fraction.
Let’s use 3/4 ÷ 2/3
Keep 3/4 the same, change the division sign into a multiplication sign, and flip 2/3 so that it is 3/2
It’ll look like this
3/4 x 3/2
Now just multiply the numerators, 2 x 3, then multiply the demoninators, 4 x 2.
You get 6/8
Simplify this number and you get 3/4.
If you have any further questions feel free to ask.
Hope this helps.