Descartes' Rule of signs Use Descartes' Rule positive and how of Signs to determine how many...

Descartes' Rule of signs Use Descartes' Rule positive and how of Signs to determine how many negative real zeros of the polynomial can have. Then determine the possible total number of real zeros.

P(x) = x^3 - x^2 - x - 3

P(x) = 2x^3 - x^2 + 4x -7

P(x) = 2x^6 + 5x^4 - x^3 -5x -1

P(x) = x^4 + x^3 + x^2 + x + 12

P(x) = x^5 + 4x^3 - x^2 + 6x

P(x) = x^8 - x^5 + x^4 - x^3 + x^2 - x + 1

*** Please explain to me very detaily***

Thank you very much.

Solutions

Expert Solution

milcah answered 2 years ago

Next > < Previous

Related Solutions

14. Use Descartes’ Rule to determine the possible number of positive, negative, and non-real solutions. Make...

14. Use Descartes’ Rule to determine the possible number of positive, negative, and non-real solutions. Make a table of possible real/complex solutions. (10 points) ?(?)=?^?−??^?−??^?+??−?

Using the function f(x)=7x4+2x3+4x2−6x+5 and Descartes' Rule of Signs, what are possible combinations of positive, negative,...

Using the function f(x)=7x4+2x3+4x2−6x+5 and Descartes' Rule of Signs, what are possible combinations of positive, negative, and imaginary zeros? Select all that apply: 2 positive, 2 negative, 0 imaginary 4 positive, 0 negative, 0 imaginary 0 positive, 4 negative, 0 imaginary 0 positive, 2 negative, 2 imaginary 0 positive, 0 negative, 4 imaginary

7. Use the Product Rule and the Sum Rule to determine each of the following probabilities:...

7. Use the Product Rule and the Sum Rule to determine each of the following probabilities: Mendel mated Yellow Round peas (YYRR) to Green Wrinkled peas (yyrr), then performed an F1 selfcross (YyRr x YrRr). What is the probability that an F2 pea chosen at random is heterozygous for both genes? From the YrRr x YyRr self cross: What is the probability that an F2 pea chosen at random is heterozygous for the Y gene OR the R gene? Cystic...

Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs,...

Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root. f(x)=2x4-17x3+13x2+53x+21 The zeros of the function are?

Use the Multiplication Rule to find the number of positive divisors of 20!. Include a procedure...

Use the Multiplication Rule to find the number of positive divisors of 20!. Include a procedure that “builds” such divisors

What is positive use of financial leverage? How would you determine if a firm has a...

What is positive use of financial leverage? How would you determine if a firm has a positive use of financial leverage?

There are 12 signs of the zodiac. How many people must be present for there to...

There are 12 signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign? 1-P(no one has the same sign) >= 0.5 P(two or more people have the same sign) = 1-P(no one has the same sign) = 1 - (12!/(12-n)!)/12^n 1-0.5=0.5 >= P(no one has the same sign) = 12!/(12^n * (12-n)!) 0.5 >= 12!/(12^n * (12-n)!) Solve for...

What are the presumptive, probable and positive signs of pregnancy?

Use the phase rule to determine the degrees of freedom of each of the following equilibrium...

Use the phase rule to determine the degrees of freedom of each of the following equilibrium systems and give a possible set of variables that may be specified: a: NaCl crystals suspended in an aqueous NaCl solution b: Humid air in equilibrium with condensed water (dry air may be considered a single species) c: a vapor-liquid mixture of four hydrocarbons d: a gaseous mixture of H2,Br2, and HBr, given that the single reaction: H2 + Br2 <-> 2HBr, has proceeded...

b. Determine how many ml of MeOH to use, in order to have a 0.3M solution....

b. Determine how many ml of MeOH to use, in order to have a 0.3M solution. You may want to review what “0.3M” means. Show your work. c. Given the amount of camphor ( 200 mg) we are using in this experiment, please determine how many mg of sodium borohydride to use in this reaction. We would like you to use 5.2 molar equivalents of this reagent. This means 5.2 times the mmol of camphor we are using. As an...

Subjects