- Subject: Science
- Type: Math Problem
- Level: Masters
- Pages: 3 (750 words)
- Downloads: 1
- Author: wilkinsonjamey

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As zero remainder is received for the synthetic division by -4, x = -4 is zero and (x+4) is the factor of the given polynomial. However, the subsequent division by 2 produced the non-zero remainder. x=2 is not a zero.

a) For f(x) = 2x 3 -5x2-4x+3 from the Rational roots test we can suggest that +/-3 (multiple of the factor 3/2) can be the possible solutions. Using synthetic division we find that x=3 is a zero of the polynomial:

...

where P - starting amount,

n - quantity of years,

k - annual interest rate,

F - future amount.

c) To find F after 10 year, let n = 10:

F = 2000*e 10*0.08 = 2000 * 2.226 = $4, 451.08

d) Lets say the $2,000 starting amount will double after z years:

2,000*ez*0.08 = 4,000

ez*0.08 = 2

0.08z = ln 2

0.08z = 0.693

Thus, z = 8.66

$2,000 will double in 8.66 ...Download file to see next pagesRead More

a) For f(x) = 2x 3 -5x2-4x+3 from the Rational roots test we can suggest that +/-3 (multiple of the factor 3/2) can be the possible solutions. Using synthetic division we find that x=3 is a zero of the polynomial:

...

where P - starting amount,

n - quantity of years,

k - annual interest rate,

F - future amount.

c) To find F after 10 year, let n = 10:

F = 2000*e 10*0.08 = 2000 * 2.226 = $4, 451.08

d) Lets say the $2,000 starting amount will double after z years:

2,000*ez*0.08 = 4,000

ez*0.08 = 2

0.08z = ln 2

0.08z = 0.693

Thus, z = 8.66

$2,000 will double in 8.66 ...Download file to see next pagesRead More

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