Question: Which of the following polynomial functions has the leading coefficient 2, degree 3, with - 2, 1 and 4 as real zeros?
A ) f (x) = 2 x3 + 6x2 + 12x + 16
B ) f (x) = 2 x3 + 6x2 - 12x - 16
C ) f (x) = 2x3 - 6x2 - 12x + 16
D ) f (x) = x3 + x2 + 2x + 6
Steps to derive
1 The polynomial function with leading coefficient 2, degree 3 with - 2, 1 and 4 as real zeros is f (x) = 2 (x + 2) (x - 1) (x - 4).
2 = 2 (x + 2) (x2 - 5x + 4)
3 f (x) = 2x3 - 6x2 - 12x + 16.
Hence the right answer is Option C
Click Here To Go Back
Few Other Questions -
The probability that a student plays football is 0.60 and the probability that a student p..Determine the values of x for which the series ∑n=1∞ (x+6)nn155n converges ab..A single card is drawn from a deck. Find the probability that it is a Jack or a Black card..Determine the value of x for which the series ∑n=1∞ xn2n+1 converges conditio..Check the following data set for outliers.25, 43, 16, 4, 11, 39, 28, 8..Identify the decimal that the shaded area shows...Find Q1, Q2 and Q3 for the data set.9, 3, 2, 5, 4, 7, 6, 11, 13...Identify the decimal that the shaded area shows...Identify the decimal that the shaded area shows...A box contains 2 red, 3 blue and 4 black balls. If a ball is drawn at random, then what is..Identify the decimals that the shaded area shows...In a school, 75% of students probably owned some music instruments and 90% probably owned ..Which will be the appropriate unit to estimate the length of a one dollar bill?..The average score on a Geography final examination was 70, with a standard deviation of 5...The frequency distribution shown here illustrates the number of goals scored by country X ..Which of the figures shows five tenths?..The average age of the accountants at Six Soft Technologies is 24 years, with a standard d..The frequency distribution shown here illustrates the number of goals scored by country X ..The mean for the number of viewers of a sample of entertainment programs is 132, with a v..Determine whether the distributions shown in table 1 and table 2 are probability distribut..State whether the distributions shown in table 1 and table 2 are probability distributions..Check whether the distributions shown in table 1 and table 2 are probability distributions..Determine whether the distribution shown is a probability distribution or not. Table - 1 X..State whether the variable is discrete or continuous:The number of children playing in a p..State whether the variables are discrete or continuous.(i). Speed of a car.(ii). Weight of..State whether the variable is discrete or continuous:(i). Number of persons watching a mov..State whether the variable is discrete or continuous:(i) Temperature of patients in a hosp..In a committee there are 20 Republicans and 15 Democrats; 10 of the Republicans are female..Probability distribution for a family of 3 children with X representing the number of girl..In a committee there are 20 Republicans and 15 Democrats; 10 of the Republicans are female..Probability distribution for getting a sum X when two dice are rolled is represented by __..The average number of computer sales over a 2-month period is 86, with a variance of 36. ..A box contains 1 green ball, 2 white balls, 3 red balls and 4 blue balls. Select the figur..Determine whether this is a probability distribution or not. What is the value of P(4)?P(X..Determine the distribution for the following formula, indicating whether it is a probabili..A large department store employs managers, departmental heads, clerks, and stock persons. ..Determine the distribution for the following formula, indicating whether it is a probabili..Determine the distribution for the following formula, indicating whether it is a probabili..A large department store employs managers, departmental heads, clerks, and stock persons. ..Find the mean of the number of probable girls in a family of 3 children...Fifteen students were surveyed about their favorite sport and the results are shown in the..A company manufacturing calculators found that on an average 94% of the cartons contain no..Find the area of the parallelogram ABCD...The probability distribution for the number of clients visiting a bookshop daily is presen..Students numbering 250 attending one or more courses in 3 subjects during a semester were ..A rectangular room is 36 ft long and 24 ft wide. Find the area of the room...In a factory manufacturing umbrellas, it was found that 90% of packages (containing 100 um..The rate of fuel consumption (in miles per gallon) of 30 selected sports utility vehicles ..From the bar graph, find out what percentage of population in the USA are in the age group..If a man purchases a raffle ticket, he can win a first prize of $10,000 or a second prize ..Two dice are rolled. What is the probability of getting a sum greater than 10 or less than..What is the outlier in the box-and-whisker plot?..Find the probability of getting exactly 2 heads when 5 coins are tossed simultaneously...A paediatric hospital presents data on the number of children and their stay in the hospit..If on an average it rains on 5 days in every thirty days, then find the probability that i..Three dice are rolled. Find the probability of getting a sum of 6...80 randomly selected batteries were tested to determine their lifetime (in hours). The fol..The probability that a bulb manufactured by a factory will fuse before 100 days of use is ..An insurance agent sells 5 policies, one to each of 5 healthy persons of the same age. Ac..An insurance agent sells 5 policies, one to each of 5 persons who are of the same age and ..If on an average one in every 10 trains arrives late, then find the probability that out o..Find the probability of guessing correct answers to at least 9 out of 10 questions with 4 ..The blood urea nitrogen (in milligrams per deciliter - mg/dl) count of 20 randomly selecte..Determine which events are independent.I. Tossing a coin and drawing a ball from an urn.II..Find the mean, variance and standard deviation for the number of heads, when 20 coins are ..If the probability of a defective bolt is 0.05, then find the mean and the standard deviat..The graph represents the scores of four students in an examination. Which of the following..A coin is tossed and a die is rolled. Find the probability of getting a tail on the coin a..In a class of 20 students, this distribution of quiz scores was recorded. Find the standar..A line graph for the number of computer firms surveyed in the USA is given. Between which ..Choose an appropriate symbol to compare the fractions. 38 58..The probability of a shooter hitting the target is 13. If he tries 9 times, then what is t..Which of the following is true?..A card is drawn from a deck and replaced; then a second card is drawn. What is the probabi..Choose an appropriate symbol to compare the fractions.56 16..An urn contains 6 red balls, 4 blue balls, and 5 white balls. A ball is selected and its c..Three defective pencils are mixed with 7 good ones. Two pencils are drawn at random simult..Select the appropriate symbol to compare the fractions...An urn contains 6 red balls, 4 blue balls, and 5 white balls. A ball is selected and its c..A test on knowledge of word refinishing has a mean of 53 and a standard deviation of 6. Sm..A survey of a bookstall revealed that 70% of their clientele were men. If 3 of them were r..There are 5 defective items in a batch of 25 items. 4 are chosen at random. Find the proba..A box contains 3 white, 4 black and 2 blue balls. Three balls are drawn one by one replaci..A fruit basket contains 5 plums, 4 apples and 3 oranges. Each time a fruit is picked at ra..A fair die is rolled 6 times. Find the probability that 1 appears exactly once, 2 appears ..The probability that a student commits 0, 1, 2, 3 errors in a short assignment is 0.6, 0.3..The graphs show the sales of goods in an electronic store. Which of the graphs will the st..In a cycle manufacturing factory, it is observed that chances that a cycle contains 0, 1, ..Select the appropriate symbol to compare the fractions...A person owns a collection of 50 CD's, of which 15 are Heavy Metal. If two CD's are select..The students of the Medical School who went on a botanical trip were asked to collect diff..Which is the missing number in the blank? ___ + 12 = 15..If 3% of the electric bulbs manufactured by a firm are defective, then find the probabilit..The serving speed (miles per hour) of some of the tennis players who participated in a ten..The back to back stem and leaf plot compares the number of boys and girls who visited the ..If 3% of the electric bulbs manufactured by a firm are defective, then what is the probabi..The back-to-back stem and leaf plot represents the number of births in two cities during t..Three cards are drawn from a deck without replacement. What is the probability that all ar..The graph represents the weight lifting machines and their capacities (in pounds). Which o..Identify the rectangular prism that the net shown would fold into...
|
|
