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PtichkaEL [24]
4 years ago
12

Find a polynomial function of degree 3 such that f (2) = 24 and x– 1, x and x+ 2

Mathematics
1 answer:
mafiozo [28]4 years ago
8 0

f(x) = 3x³ + 3x² - 6x

given the factors of the polynomial , then

f(x) =ax(x - 1)(x + 2) ( a is a multiplier )

to find a use f(2) = 24

f(2) = 2a(1)(4) = 24 ⇒8a = 24 ⇒ a = 3, thus

f(x) = 3x(x² + x - 2) = 3x³ + 3x² - 6x






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