2 answers

3x^3 -15x^2 -13x-4 what are the zeros of this problem

Question:

3x^3 -15x^2 -13x-4
what are the zeros of this problem?

Answers

When x=6 the expression is positive,
when x=5 it is negative, so there is a zero between 5 and 6

I ran it trough my homemade equation solver and got x = appr. 5.788

reducing the expression using synthetic division resulted in two imaginary roots.

So the expression has one real zero at about x = 5.788.

The "p/q theorem" says that if there is any real rational root, it will be + or - p/q, where p and q are prime factors of the first and last terms, which are 3 and 1 for p and 1,2 and 4 for q. I can't find any p/q ratios that work, so a graphical or iterative (trial and error) solution may be required..

Similar Solved Questions

1 answer
Problem 5-8B Record long-term notes receivable and interest revenue (LO5-7) On April 15, 2021, Sampson Consulting...
Problem 5-8B Record long-term notes receivable and interest revenue (LO5-7) On April 15, 2021, Sampson Consulting provides services to a customer for $92,000. To pay for the services, the customer signs a three-year, 9% note. The face amount is due at the end of the third year, while annual interest...
1 answer
Debt and financial risk Tower Interiors has made the forecast of sales shown in the following...
Debt and financial risk Tower Interiors has made the forecast of sales shown in the following table. Also given is the probability of each level of sales. Sales Probability $190,000 0.25 290,000 0.55 390,000 0.20 The firm has fixed operating costs of 575,000 and variable operating costs equal to 60%...
1 answer
Consider n = 5 pairs (x! ,y, , . . . , (xt, y,'). Let x...
Consider n = 5 pairs (x! ,y, , . . . , (xt, y,'). Let x = n-ı Σ i , and y = n-ı Σ -1 y be the sample means of the x and y variables. Let & and Sy be the corresponding standard deviations. Let sry and rry be the sample covariance and sample correlation respective . Suppo...
1 answer
02: A rectangular settling tank with a width of (6 m), flow of raw water is...
02: A rectangular settling tank with a width of (6 m), flow of raw water is (5450 m /day), specific gravity of suspended solids is (2) and kinematics viscosity ofwater is (1.14 106m/sec). Derive the relation between the smallest diameter of particle that can be settled in the tank and the length of ...
1 answer
CALCULATOR PRINTER VERSION BACK NEXT Question 9 Tamarisk, Inc. does not ring up sales taxes separately...
CALCULATOR PRINTER VERSION BACK NEXT Question 9 Tamarisk, Inc. does not ring up sales taxes separately on the cash register. Total receipts for February amounted to $41552. If the sales tax rate is 6%, what amount must be remitted to the state for February's sales taxes? $2493 O $2352 O $2344 O ...
1 answer
Question 2 0.5 pts Calculate the number of valence electrons in the nitrate ion. (Do not...
Question 2 0.5 pts Calculate the number of valence electrons in the nitrate ion. (Do not overlook its charge.)...
1 answer
On December 31, a $1,500,000 bond issue on which there is an unamortized discount of $70,100...
On December 31, a $1,500,000 bond issue on which there is an unamortized discount of $70,100 is redeemed for $1,455,000 Journalize the redemption of the bonds. Refer to the Chart of Accounts for exact wording of accountitles....
1 answer
Using the data below, what is the value of MSE? Week Time Series Value Forecast 1...
Using the data below, what is the value of MSE? Week Time Series Value Forecast 1 7 5.00 2 5 8.00 3 4 8.00 4 3 3.00 Answer Format: Number: Round to: 2 decimal places....
1 answer
Help please Two forces of 417 newtons and 513 newtons act on a point. The resultant...
help please Two forces of 417 newtons and 513 newtons act on a point. The resultant force is 901 newtons. Find the angle between the two forces The angle between the two forces is ° (Round to the nearest integer as needed.) What bearing and airspeed are required for a plane to fly 320 miles ...
1 answer
An ideal Diesel cycle has a compression ratio of 19.9 and a cutoff ratio of 1.30. Determine the maximum temperature of...
An ideal Diesel cycle has a compression ratio of 19.9 and a cutoff ratio of 1.30. Determine the maximum temperature of the air and the rate of heat addition to this cycle when it produces 212 hp of power, and the state of the air at the beginning of the compression is 97 kPa and 17°C. Use consta...
1 answer
Use the Laws of Logarithms to combine the expression. 3 In(2) + 4 1n(x) - In(x...
Use the Laws of Logarithms to combine the expression. 3 In(2) + 4 1n(x) - In(x + 4) 2...
1 answer
The drawing shows three arrangements of charged particles, all the same distance from the origin. Rank...
The drawing shows three arrangements of charged particles, all the same distance from the origin. Rank the arrangements, largest to smallest, according to the total electric potential V at the origin. -2 + -2q +64 +49 +5g -3 -59 £ B C |x 0 A, B, C © B, A, C O A and C (a tie), B B,C, A O A...
1 answer
The densities of Spanish mahogany, Oregon pine and greenheart wood are 0.85 g/cm3, 0.53 g/cm3 and...
The densities of Spanish mahogany, Oregon pine and greenheart wood are 0.85 g/cm3, 0.53 g/cm3 and 1.04 g/cm3, respectively. Which of the wood samples will float in water? Why?...
1 answer
Today, Company "A" purchases 100% of Company B Common Stock and assumes all of the outstanding...
Today, Company "A" purchases 100% of Company B Common Stock and assumes all of the outstanding Company B Liabilities. Immediately Before the acquisition, Company B had reported the following Balance Sheet Totals: Total Assets = $2,800 Total Liabilities = $2,100 Total Equity = $700 Immediatel...
1 answer
Simon recently received a credit card with a 21% nominal interest rate. With the card, he...
Simon recently received a credit card with a 21% nominal interest rate. With the card, he purchased an Apple iPhone 7 for $368.24. The minimum payment on the card is only $20 per month. If Simon makes the minimum monthly payment and makes no other charges, how many months will it be before he pays...
1 answer
Part A Consider a fuel cell that uses the reaction C2H4 (g)302(g) -2CO2(g) 2H20(1 Using the...
Part A Consider a fuel cell that uses the reaction C2H4 (g)302(g) -2CO2(g) 2H20(1 Using the standard free energies of formation, what is the value of E° for the cell reaction? Substance and StateAG C2H4(g) CO2 (g) (kJ/mol) 68.1 -394.4 H20() O2(g) -237.2 0 Express your answer with the appropriate...
1 answer
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O...
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)...