Ask a New Question

Question

If f(x)=x3+lx+m leaves the same reminder when divided by (x-1) or by (x+1). Find values of l and m?
7 years ago

Answers

Steve
do a little synthetic division.
R(x-1) = m+(l+1)
R(x+1) = m-(l+1)

m-(l+1) = m+(l+1)
2(l+1) = 0
l = -1

and m can be anything. So,

f(x) = x^3-x+m

the remainder is always m.
7 years ago

Related Questions

At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second ca... At 10:00 AM, a car leaves a house at a rate of 60 mi/h.At the same time, another car leaves the smae... 4. Why will the leaves of a red rose be warmed more than the petals when illuminated with red light?... given that 6x^3+5a-12a leaves a remainder of -4 when divided by (x-a). what will be the possible val... There are (35)2 ⋅ 30 leaves on a tree. What is the total number of leaves on the tree? 33 37... If bus 1 and bus 2 leaves the station every 20 minutes and bus 2 leaves every 25 minutes...then wha... A bus leaves at 9 a.m. with a group of tourists.They travel 350km before they stop for lunch.Then th... What happens to the leaves in deciduous forest? A They fall to the forest floor and decompose t... There are (35)2 ⋅ 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use