<h3>Answer: You have the correct answer. It's choice A. </h3>
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
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Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.
Choice C is a similar story to choice B
Choice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.
Step-by-step explanation: If someone were to buy a 14-ounce box of cereal for $4.20 <--(Cereal A) and another person wants to buy the 12-ounce box for $3.90 <-- (Cereal B)You need to find how much one ounce costs. So, you have to divided $4.20 by 14 and that gives you $0.30 and so you do the same for Cereal B, $3.90 by 12 that gives you $0.33. Which one is less cheaper? Cereal A