Answer:
f(x) =
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p =
p =
Therefore, equation will be,
f(x) =
The second option is the correct answer
The expression given to us is:
Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.
Thus, we get:
Rearranging the above expression in descending order of power we get:
From the given options we can see this is the second option. Hence the second option is the correct answer.
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