![kkeith121p6ujlt](/avatars/20841.jpg)
kkeith121p6ujlt
06.07.2019 •
Mathematics
Find a polynomial function of degree 3 such that f (2) = 24 and x– 1, x and x+ 2 are factors of the polynomial.
Solved
Show answers
More tips
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- S Science and Technology Colliders: How They Work and Why They Matter...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment How Many Seasons are There in the TV Show Interns?...
- S Sport Playing Bowling: Rules and Advice for Novices...
- L Leisure and Entertainment The Best Film of 2010: A Look Back at the Academy Awards...
- S Sport How to Learn Swimming? Simple Tips for Beginners...
- C Computers and Internet What is Web 2.0 and How Does it Work?...
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Mathematics
- M Mathematics Monica can walk 4/5 of a mile in 1/3 of an hour. How long can she walk in 1 hr?...
- M Mathematics Which statement is true of this function? Help me please...
- M Mathematics Given triangle ABC with angle B=90 degrees, c=12 and angle C=40 degrees. Then the measure of side a correct to the nearest tenth is...
- M Mathematics In circle A, AC=8in. What is the length of arc BC? Round to the nearest hundredth....
- M Mathematics A community bike ride offers a short 5.7-mile ride...
- M Mathematics Kathleen’s soccer team has played x games this season, and they won 7 of them. They lost the remaining 3 games. Let g represent the total number of games played. Which...
- M Mathematics This one is 9 different answers. thank you...
- M Mathematics Which of the following sets of measurements could be the sides of a right triangle? A: 5, 12, 13 B: 2, 3, 13 C: 4, 5, 9 D: 3, 9, 12...
- M Mathematics 7.5 kilometers = ___ miloleters...
- M Mathematics Please help me solve this problem using PEMDAS...
Ответ:
The polynomial function is
.
Given that,
f(2) = 24.And, x– 1, x and x+ 2 represents the factors of the polynomial.Now based on the above information, the calculation is as follows:
f(x) =ax(x - 1)(x + 2)
Here a is a multiplier.
Now
f(2) = 24
f(2) = 2a(1)(4) = 24
8a = 24
a = 3
It can be write as
Therefore we can conclude that the polynomial function is
.
Learn more: link
Ответ:
f(x) = 3x³ + 3x² - 6x
given the factors of the polynomial , then
f(x) =ax(x - 1)(x + 2) ( a is a multiplier )
to find a use f(2) = 24
f(2) = 2a(1)(4) = 24 ⇒8a = 24 ⇒ a = 3, thus
f(x) = 3x(x² + x - 2) = 3x³ + 3x² - 6x
Ответ: