Construct a polynomial function with the stated properties.
1 answer:
Step-by-step explanation:
f(x) = a [x - (-2)] [x - (-1)] (x - 3)
with a ≠ 0.
f(x) = a(x + 2)(x + 1)((x - 3)
Use f(4) = 10 to find a.
10 = a(4 + 2)(4 + 1)(4 - 3) = 30a
a = 1/3
f(x) = (1/3)(x + 2)(x + 1)(x - 3)
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