Which graph represents the polynomial function g(x) = x3 + 5x2 – 12x - 36?
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Answer: D
Step-by-step explanation:
-36 means that the y intercept is -36. As a result, you can eliminate A and C. You also have to figure out what x values would make y zero.
0=x^3+5x^2-12x-36.
Since 2 and 3 are 0 in B and D in that order, I tested both x=2 and x=3. x=3 produced y=0, while 2=x did not. As a result, D is the answer.