College Board Test 4, Math 4 #25 (the explanation link that you previously made does not work):
f(x) = 2x^3 + 6 x^2 + 4x
g(x) = x^2 + 3x + 2
The polynomials f(x) and g(x) are defined above. Which of the following polynomials is divisible by 2x + 3?
A) h(x) = f(x) + g(x)
B) p(x) = f(x) + 3 g(x)
C) r(x) = 2 f(x) + 3 g(x)
D) s(x) = 3 f(x) + 2 g(x)
test number 4 section 4 question number 25 indicates
Choice B is correct.
they the college board explains:
In f(x), factoring out the greatest common factor, 2x, yields
f(x) = 2x (x2 + 3x + 2).
however I do not find 2x to be a factor of X^3 +6X +4 because the 4 has no X associated with it. I did not get the answer as b either but c. Could you explain?
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