1) What are the real zeroes of x3 + 6 x2 - 9x - 54?

A. 1, 2, 27

B. 3, - 3, - 6

C. - 6, 3, - 6

D. 2, - 1, 18

E. 3, 3, - 6

2) An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function P (x) = x3 - 4x2 + 3x - 12,

where P is in hundreds of dollars and x is the number of years elapsed after the company starts operations. In how many years (x) will the company break even

(no profit, no loss) ?

A. 1 year

B. 2 years

C. 3 years

D. 4 years

E. 6 years

3) How many negative roots can this polynomial function possibly have?

f (x) = 5x4 - 7x3 - x2 - 3x - 2

A. 1

B. 5 or 3 or 1

C. 3 or 1

D. 4 or 2 or 0

E. 2 or 0

Question

Mathematics

Krish Page

1 November, 11:01

1) What are the real zeroes of x3 + 6 x2 - 9x - 54?

A. 1, 2, 27

B. 3, - 3, - 6

C. - 6, 3, - 6

D. 2, - 1, 18

E. 3, 3, - 6

2) An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function P (x) = x3 - 4x2 + 3x - 12,

where P is in hundreds of dollars and x is the number of years elapsed after the company starts operations. In how many years (x) will the company break even

(no profit, no loss) ?

A. 1 year

B. 2 years

C. 3 years

D. 4 years

E. 6 years

3) How many negative roots can this polynomial function possibly have?

f (x) = 5x4 - 7x3 - x2 - 3x - 2

A. 1

B. 5 or 3 or 1

C. 3 or 1

D. 4 or 2 or 0

E. 2 or 0

+2

Answers (1)

Know the Answer?

Natalia Meyers · Answer 1

A polynomial with a degree of 3 is understood to have three zeroes or roots. In the given problem in 1, x3 + 6 x2 - 9x - 54, the roots of the polynomial using the calculator are B. B. 3, - 3, - 6. The same applies for number 2 given the polynomial x3 - 4x2 + 3x - 12. The answer in 2 is D. 4 years. The roots of the polynomial in 3 are:

x1=-0.45117

x2 = 1.77474

x3 = 0.03821+0.70576∗i

x4 = 0.03821-0.70576∗i. Hence there is A. 1 negative root.