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Mathematics
Morgan
12 May, 22:35
What polynomial has roots of - 4,-1, and 6?
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Averie Conner
12 May, 23:13
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A polynomial with the roots r1, r2 and r3 has factors of
(x-r1), (x-r2) and (x-r3) in it, it can be written in form
c (x-r1) ᵃ (x-r2) ᵇ (x-r3) ⁿ
where c is a constant and a, b, and n are the powers
so roots of - 4,-1 and 6 are factors of
(x - (-4)) (x - (-1)) (x-6) = (x+4) (x+1) (x-6)
in expanded form
x³-x²-26x-24
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