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factor theorem

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27 items are filed under this topic.
The remainder theorem 2016-03-27
From Pratyasha:
A quadratic polynomial when divide by x+2 leaves a remainder of 1 and when divided by x-1 leaves a remainder of 4. What will be the remainder if it is divided by (x+2)(x-1)?
Answered by Penny Nom.
A limit of a rational function 2016-01-16
From selvamani:
F (x) = x^3+3x^2-9x-2 / x^3-x-6 and limit x tends to 2, f (x) exist then limit x tends to 2, f (x) is equal to ? How to answer this problem.
Answered by Penny Nom.
The zeros of a fourth degree polynomial 2013-01-23
From Dakota:
My problem has multiple steps and I have done everything but the last one. 8The original problem is f(x)=x^4-5x^3+7x^2+3x-10 and I have to find the zeros of the equation. I used synthetic substitution like my teacher taught us to get the equation of x^3-3x^2+x+5=0 but now I don't know how to get the zeros of that equation, or solve it.
Answered by Penny Nom.
A cubic inequality 2012-03-25
From Victoria:
The flight path of a bumblebee above the ground can be modelled by the function f(x)= 2x^3- 17x^2+ 11x + 130. Where x is the time in seconds and f(x) represents the height in inches above the ground. The entrance to the bee's hive is located 100 inches above the ground. Determine when the bumblebee's height is greater than 100 inches. The bee's height was monitored from 0 to 25 seconds inclusive. (over the domain 0
Answered by Penny Nom.
4x^3 - 6x + 2 = 0 2008-05-28
From paul:
4x^3 - 6x + 2 = 0
Answered by Janice Cotcher.
The factor theorem 2008-05-06
From Nomaan:
using factor theorem

Answered by Penny Nom.
Factor 2x^3 + 3x^2 - 32x + 15 2008-04-02
From sarah:
I have a course review I'm working on and I'm not sure how I'm supposed to factor the following 2x^3 + 3x^2 - 32x + 15.
Answered by Penny Nom.
(x+2) is a factor of x^3+bx^2-14x+24. Find the value of b? 2007-03-11
From victoria:
hi my names victoria and i have been stuck on this question for ages can you please help me! (x+2) is a factor of x^3+bx^2-14x+24. Find the value of b?
Answered by Penny Nom.
The factor theorem 2007-03-04
From Sophia:
hi this is sophia, 10th grade from the philippines. im really having a hard time in factor theorem im just asking if you could help me solve these problems because i really dont have an idea on how to do solve these.. please

find the values of A and B so that (x+3) (x-2) are both factors of x^3+Ax^2+Bx-12


find the values of A, B, and C so that (x-3) (x+1)and (x-2) factors of P(x)=x^4+Ax^3+Bx^2+Cx+12

please help me.. i really do not understand these problems

Answered by Penny Nom.
When kx^2+3x+1 divided by (x-2) the remainder is 3 2006-11-09
From Brianna:
For the dividend, find the value of k if the remainder is 3. (kx^2+3x+1) divided by (x-2)
Answered by Penny Nom.
X^1/3-X^1/9=60 2006-09-26
From Harini:
I need the answer for

The value of X in X^1/3-X^1/9=60.
Answered by Penny Nom.

f(x) is a polynomial of degree 3. 2006-03-13
From Meadow:
f(x) is a polynomial of degree 3. It leaves a remainder of 10 and 4 when divided by x + 1 and x - 2 respectively. Given also that f(1) = f(-2) = 0, find the remainder when f(x) is divided by x - 3.
Answered by Penny Nom.
Factors of a cubic 2006-03-08
From Skye:
Show that (x+2) is a factor of f(x) where:

f(x) = px3 + (4p+2)x2 + (5p+4)x + 2p

Find the range of values for which the equation f(x) = 0 has 3 distinct real roots

Answered by Penny Nom.
The remainder theorem 2005-10-07
From Ron:
If f(x) is divided by (x-3), the remainder is 5, and if it is divided by (x+1), the remainder is -3. Find the remainder when f(x)is divided by (x-3)(x+1).
Answered by Chris Fisher.
An algebraic remainder 2005-06-22
From Raymond:
Given that 4x3 - kx is divisible by 2x+1, find the remainder when the expression is divided by 4 - x2.
Answered by Penny Nom.
The factor theorem 2004-03-08
From LisaMarie:

Hi, I have a career link question from gr.12 advanced functions and intro. calculus. The equations is:

R(t) = 5(t4 - 4t3 + 19/4 t2 - 3/2 t)

The question is to apply the factor theorem and quadratic formula to determine the times it crosses the t axis. The only method i know of for using the factor theorem is when the last number does not have a variable beside it so i'm not sure how you would even use the factor theorem for this? We haven't dealt with any that have 0 as the last number with no variable so i'm a little confused! please help!

Thank you

Answered by Penny Nom.

Factoring 2003-02-04
From Marcin:
I am having a really hard time with the factor theorem. Can you please help me with the following? (a'3 means a to the exponent 3)


Answered by Penny Nom.
Factoring a cubic 2002-12-05
From Dorota:
I got a problem with factorise the expression

Answered by Penny Nom.
The factor theorem 2002-09-10
From Yael:
Prove (x - a - b) is a factor of x3 - a3 - b3 - 3ab (a + b)
Answered by Penny Nom.
A limit 2002-09-03
From Circe:

Lim 3x 3+ax+a+3 /(x 2+x-2), X->-2

Answered by Penny Nom.
A degree 5 polynomial 2002-02-17
From Carla:
Write an equation for a polynomial of degree 5 given the following zeros:
-7+3i, -2+sqrt(13), 6

Answered by Penny Nom.
Factoring by graphing 2000-01-11
From Dylan Kirkwood:
How can you factor a quadratic equation by graphing it?
Answered by Penny Nom.
Solving a cubic equation 1999-12-30
From Natalia:
How can I solve:
2 x3 - x2 + x - 2 = 0 ???

Answered by Penny Nom.
Two algebra problems 1999-12-17
From Michael Standfest:
If x+4 is a factor of 2x4+kx3-3kx2+6x-40, find k


Prove that n2-n is even for all n, using the proof of contradiction
Answered by Penny Nom.

Factoring 1999-03-30
From Maggie Stephens:
I don't know anything about factoring would you plese help me.

3x4 - 48

54x6 + 16y3


12x2 - 36x + 27

9 - 81x2

a3 + b3c3

I would greatly appreciate any help you can give me thanks.
Answered by Jack LeSage.

Factoring polynomials 1999-03-29
From Karen:
I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (10-12) maths. The polynomial is x3 + x2 - 24x + 36
I have tried a few factorisation methods such as foctorisation by grouping but it won't work this polynomial. Please help.

Answered by Jeff Walters and Jack LeSage.
The Factor Theorem 1998-01-18
From Dhruv Bansal:
Hi, I'm a ninth grade student doing a math project for school. I'm trying to learn about various ways of solving 3rd and 4th degree polynomial equations using the remainder theorem, the factor theorem, and synthetic division. The books I have all mention x - r, which I know nothing about, not even how to get it.

I would really appreciate any information on this. Thanks.

Dhruv Bansal
Answered by Penny Nom.




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