qhenley
18.05.2021 •
Mathematics
Use irrational conjugate theorem to write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1 and given zeros.
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Ответ:
Hhh
Step-by-step explanation:
Ответ:
f(x) = x³-11x²+32x-24
Step-by-step explanation:
zeros = 3 and 4+√8
because of the irrational conjugate theorem it = 3, 4+√8, 4-√8
f(x) = (x-3) (x-(4+√8)) (x-(4-√8))
f(x) = (x-3) ((x-4)-√8) ((x-4)+√8)
(a-b) (a+b)
= a²-b²
f(x) = (x-3) ((x-4)² - (√8)²)
f(x) = (x-3) ((x-4)² - 8)
f(x) = (x-3) ((x²-8x+16)-8)
f(x) = x³-11x²+32x-24
pls vote me the brainliest :)
Ответ:
zeros=3, 4+√8→ 3, 4+√8, 4-√8
f(x)=(x-3)(x-(4+√8))(x-(4-√8)
f(x)=(x-3)((x-4)-√8)((x-4)+√8)
f(x)=(x-3)((x-4)2-(√8)2)
f(x)=(x-3)((x2-8x+16)-8)
f(x)=x3-112+32x-24
Step-by-step explanation:
Ответ:
slope = Negative one-fourth, y-intercept = 1
Step-by-step explanation: