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common factor

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39 items are filed under this topic.
 
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GCD 2017-11-25
From A student:
Suppose a,b, c are integers such that gcd(a,b)=gcd(a,c)=1. Show that gcd(a,bc)=1.
Answered by Penny Nom.
Abstract algebra 2017-11-25
From A student:
Suppose a,b, c are integers such that gcd(a,b)=gcd(a,c)=1. Show that gcd(a,bc)=1.
Answered by Penny Nom.
Baseball Cards 2017-04-20
From Raquel:
A minor league baseball team gave away baseball cards to each person entering the stadium. One group receives 28 baseball cards. A second group received 68 baseball card. If each person entering the stadium receive the same number of cards, what was the greatest possible number of baseball cards that each person could have received?
Answered by Penny Nom.
Factorise 15x + 15y 2014-11-20
From Jordan:
hi i saw a question in class today that i didn't understand and i didn't really understand what my teacher was going on about so how do you factorise 15x + 15y
Answered by Robert Dawson and Penny Nom.
A factoring problem 2014-10-05
From Gina:
3x^2+6x+3
Answered by Penny Nom.
Factoring 2012-04-26
From Amanda:
y=x^2-9x
Answered by Penny Nom.
Simplify the expression 2012-02-12
From Christy:
Hi guys, ok so I'm having problems with solving this equation since it's been so long I've done precal.
I have to find critical points so I have to find the derivative first. This is what I've done so far s(t)= (t-6)^4 * (t+1)^2
t'= 4(t-6)^3*(1)*(t+1)^2+ 2(t+1)(1)*(t-6)^4
so this is where I got stuck, which is the algebra part. How can I simplify this to get the answer to figure out the critical points.

Answered by Penny Nom.
HCF 2009-08-03
From Nazrul:
If (x+ a) be the H,C.F. of x^2+px+q and x^2+mx+n, prove that (p-m)a=q-n
Answered by Stephen La Rocque.
Highest Common Factor of Two Polynomials 2009-07-28
From Nazrul:
If x+a be the h.c.f. of x^2+px+q and x^2+mx+n, how can I prove that (p-m)a=q-n.
Answered by Robert J. Dawson & Janice Cotcher.
how do I factor 45 - 5x^2 2009-05-31
From tracey:
how do I factor 45 - 5x^2
Answered by Penny Nom.
Factor x squared(x-3)+(x-3) 2009-04-19
From Victor:
How do I factor x squared(x-3)+(x-3) ?
Answered by Harley Weston.
The zeros of a cubic 2008-04-09
From Ryan:
what are all the zeros of f(x)= x^3-1/2x^2+1/3x-1/6
Answered by Penny Nom.
Common factors 2007-08-19
From John:
I have problem factorising 2p^3 - 34p. Please advise me.
Answered by Leeanne Boehm, Steve La Rocque and Penny Nom.
Greatest common factor 2007-01-26
From Alexis:
What is the greatest common factor of 52,and 100?
Answered by Penny Nom.
The greatest common factor 2006-10-17
From Myrna:
What is the greatest common factor of 49,164 and 80,860
Answered by Stephen La Rocque.
The greatest common factor of two numbers 2006-07-16
From Fadwa:
What is the greatest common factor(GCF) of the following algebraic expressions? 1680 and 6048
Answered by Stephen La Rocque.
GCD 2006-03-20
From Jana:
How can i prove: if gcd(a,b)=1 then gcd(a+b,ab)=1
Answered by Penny Nom.
Highest common factor 2006-02-06
From Sajid:

1.A rectangular field has dimensions 156 m and 84 m. It is to be fenced with wire netting supported by stakes, equally spaced, a stake being placed at each corner of the field. What is the greatest possible distance between any two stakes, given that it should be more than 2 m and less than 8 m?

2. What is the length of the side of the largest square tile which can be used to cover a floor 525 cm long by 275 cm wide without leaving a gap?

3. Find the greatest number which will divide 140 and 249 to leave remainders 8 and 18 respectively?

4. Find the greatest number which will divide 304 and 298 so as to leave remainder 4 in each case.


Answered by Penny Nom.
GCF, LCM, primes and the ladder method 2006-01-07
From Linda:
How would I teach both finding the GCF and LCM with prime factors...I recall the ladder method vaguely.???
Answered by Penny Nom.
Factoring 2005-10-30
From A student:
Factor 18x3 y3 + 12xy2
Answered by Penny Nom.
GCD and LCM 2004-10-31
From Cartalina:
how do you calculate the "positive difference between the GCF and LCM of two numbers"?
Answered by Penny Nom.
GCD (a + b , a^2 - ab + b^2) 2004-08-27
From Carol:
Let a and b integer and relatively prime. Proof that:
GCD (a + b , a^2 - ab + b^2) = 1 or 3

Answered by Penny Nom.
Greatest Common Factor 2003-11-08
From Beth:
How do you use the Greatest Common Factor in addtion and subtraction of fraction?
Answered by Penny Nom.
Some 5th grade problems 2003-01-24
From Sabrina:

[What is the greatest common factor of 20,28, and 36?] next problem is

[5k+7(k+8)= ] next problem

[Curtis simplified 0.8 divided by 0.2 x 0.04 and got 10. Latoya Simplified and got 1.6. is either correct? Can you explaine how you got the answer please.]


Answered by Penny Nom.
The least common denominator 2003-01-21
From Brittan:
Hi there I need help! My name is Brittany and i am in the 6th grade.

I need help finding the least common denominator(LCD), and the book says Find the LCM of the denominators and i've done that and then it says write equivalent fractions,using the LCM as the least commonn denominator.The directions say Use the LCD to write each pair as like fractions. and the problem is 1/8 and 5/40. Could u explain how in the word u do this? Thanks a lot

Brittany

Answered by Penny Nom.
Factor 12x^2 - 20x - 8 2002-04-30
From Crystal:
Factor Completely: 12x2 - 20x - 8
Answered by Penny Nom.
24x^4 + 3x 2002-03-18
From gary:
24x 4 + 3x
Answered by Penny Nom.
Factor completely 2002-03-07
From Taylor:
I'm supposed to completely factor this but I don't know what to do with all the variables.

a3b5 - a2b5 - 12ab5.

Does it have anything to do with b5 being a common factor or am I completely off?
Answered by Penny Nom.

Reduce 79,537/3,623,420 2001-12-13
From Eliana:
How do you reduce 79,537/3,623,420.
Answered by Claude Tardif.
GCD and LCM 2001-09-24
From David:
Find the GCD adn LCM of the following numbers. Assume p 2 to the power p, 3 to power q, 5 to power r

and

2 to power q, 3 to power r, 7 to power p


Answered by Penny Nom.
4x(2x-1)+(2x-1)2 2001-09-17
From Nick:
how do u solve 4x(2x-1)+(2x-1)2
Answered by Penny Nom.
Greatest Common Factor 2001-05-09
From Nicole:
What is the Greatest Common Facter for:

126,261
1008,1080
546,1995
128,256
and
255,256

Answered by Penny Nom.
Greatest common factor 2001-01-17
From A teacher:
I'm a teacher at a local Middle School and I would like the answers for the following questions.

What is the greatest common factor for..

546 and 780

156 and 732

.
.
.

Answered by Leeanne Boehm and Penny Nom.
A pair of numbers whose GCF is 28 2000-12-27
From John:
Name 2 different pairs of numbers whose GCF is 28.
Answered by Penny Nom.
Factoring (u-v)3+v-u 2000-12-15
From A parent:
I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (u-v)^3+v-u. I have the answer but I need to know how it is done.
Answered by Penny Nom.
Factoring a cubic 2000-10-31
From A student:
Factor Completely

18p3 - 51p2 - 135p


Answered by Paul Betts and Penny Nom.
Factoring, primes, GCF and LCM 2000-02-27
From Ruth Kroek:
My son is in grade seven, he has to do a Factoring Booklet the areas covered are:
  • Prime #'s
  • Composite #'s
  • Rainbow Factoring
  • Finding Multiples (consecutive multiples)
  • Finding GCF of 2-3 numbers uning Rainbow factoring
  • Finding LCM of 2 numbers using consecutive multiples
  • prime factor trees
  • prime factor ladders
  • finding GCF of 2 numbers using Prime number Method
Although his text 'Math Power' gives some information, we are at a loss ..

Answered by Penny Nom.
Common factors 1999-10-06
From Tommygirl98:
Ok I have a question about common factoring I'm not to sure if you could help me but it's worth a try here it goes. Ok I have a test on Friday and i'm having trouble understanding how to do it here's an example,

Factor,
-10 + 2b how do you do it and what do they mean by factor?
Answered by Penny Nom.

Greatest Common Factor. 1998-01-09
From Percy Stribling:
how do you figure out what the greater common factor is?
Answered by Penny Nom.
 
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