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Sati [7]
2 years ago
5

One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the R

emainder Theorem.
Mathematics
1 answer:
Elena L [17]2 years ago
4 0

f(x) =4 x {}^{3}  - 4x {}^{2}  - 16x + 16

divide \: by \: x - 2

4x {}^{2}  \: into \: (x - 2) = 4x {}^{3}  - 8x {}^{2}

g(x) = 4x {}^{2}  - 16x + 16

4x \: into \: (x - 2) = 4x {}^{2}  - 8x

z(x) =  - 8x + 16

- 8 \: into \: (x - 2) =  - 8x + 16 \\ no \: remainder

f(x) = (x - 2)(4x {}^{2}  + 4x - 8)

f(x) = 0 \\ x - 2 = 0 \:  \:  \:  \:  \:  \:  \:  \:  \: 4x {}^{2}  + 4x - 8 = 0 \\

x =  \frac{ - 4 +  \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)}  =   \frac{ - 4 +  \sqrt{144} }{8}  =  \frac{ - 4 + 12}{8}  = 1

x = 2

x =  \frac{ - 4 - 12}{8}  =  \frac{ - 16}{8}  =  - 2

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To find out how much she earned hourly, all we need to do is divide 312 and 39

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Step-by-step explanation:

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2 years ago
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Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width
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