Question 7 (a) Let f be the polynomial 2t3 – 5t2+1 € Q[t]. (i) Use the Rational Root Theorem to find all the zeros of f in Q. (ii) Find a quadratic factor g of f such that Q[t]/(g) is a field. (b) Determine whether or not t+ 2t + 1 is reducible over Fs.

Q: Carl’s daughter is estimated to be 11 years old. Approximate her age in seconds

A:

Q: A child who is 4 feet tall walks at a speed of 3 feet per second away from a lamp post that is 20…

A: Given that the child is 4 feet tall and he walks at speed of 3 feet per second from lamp post of 20…

Q: Hannah deposits $400into certificate of deposit (CD). It compounds continuously at a rate of 1.4…

A:

Q: What is their net profit when 40 tickets are sold?

A:

Q: Find the value of the expression: x^2−(a+b)x+ab divide by x^2−(a+c)x+ac  where a = 1.8, b = 4, c =…

A: We have to find the value of the expression: x2−(a+b)x+ab divide by x2−(a+c)x+ac  where a = 1.8, b =…

Q: A 25-year old woman burns 200-60t cal/hr while walking on her treadmill. Her caloric intake from…

A: We find the net decrease in cal after walking for 3 hours.

Q: Two marathon runners Gian and Erich, participated in a long-distance race of 40 km. They started at…

A: Let the speed of Gan be x km/hourSo, speed of Erich =(x-2) km /hourTotal distance =40 kmTime taken…

Q: Find two integers that make the equation y^2 = 225 true.

A: Our Aim is to find two integers that make the equation y2=225-(i) true.

Q: A missile flies 40 miles in 20 minutes. Calculate the missile’s rate of change

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Q: Emmy can type at a constant rate of 1 page every 4 minutes. If she has to type a 5-page article, but…

A: Emmy can write at a constant rate of 1 page in 4 minutes. Hence she will take 5 ×4 = 20 mins two…

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: A ship leaves a port going directly west at 45 mph. At the same time the first ship leaves port, a…

A: Formulae used: ddxx=12xddxxn=nxn-1

Q: When I cake is removed from an oven its temperature is 300° F. Three minutes later its temperature…

A: A cake is removed from an oven, its temperature is .Three minutes later its temperature is .The aim…

Q: Jason can do a job in 3 hours. David can do the same job in 5 hrs. How long would it take if they…

A: Let the time be x for both to complete the job together

Q: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and continued to…

A: Given: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and…

Q: An airplane travels  1908  kilometers against the wind in  3  hours and  2178  kilometers with…

A:

Q: Use the diagram below to answer the following questions: h = 3x^2 + 6x - 4 ; b = 4x Area of the…

A:

Q: Determine what will be the three positive numbers that its product is 27 and its sum is as small as…

A: We will find the three numbers satisfying the given conditions.

Q: The number of insects attracted to bright light is currently 8. If the number is expected to…

A: Lets say initial quantity is A0 =8

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.