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23-02-2022
Mathematics

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Polynomial function f(x) has only 3 real roots. It has a root at −3 and a double root at 4. It has a y-intercept of 24. Which equation represents f(x) ?

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23-02-2022

Answer:

f(x) = (1/2) (x + 3)(x - 4)^2

Step-by-step explanation:

f(x) = C(x + 3)(x - 4)^2

y-intercept = f(0) = C(3)(-4)^2 = 48C = 24, so C = 1/2

f(x) = (1/2) (x + 3)(x - 4)^2

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