Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

LCM of Polynomials...1

Find the LCM of the given polynomial.

x^2 - x - 12, x^2 - 8x + 16

Last edited by sologuitar (2023-10-03 16:54:33)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: LCM of Polynomials...1

First attempt to factorise each polynomial.

x^2 - x - 12 = (x  -  4)(x  + 3)

x^2 - 8x + 16 = (x  -  4)(x  -  4)

note: These two have a common factor (x  -  4)

For the lowest common multiple we only need that factor once and both of the others.

Hence (x    )(x   )(x   ) I'll leave you to complete the brackets.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: LCM of Polynomials...1

First attempt to factorise each polynomial.

x^2 - x - 12 = (x  -  4)(x  + 3)

x^2 - 8x + 16 = (x  -  4)(x  -  4)

note: These two have a common factor (x  -  4)

For the lowest common multiple we only need that factor once and both of the others.

Hence (x    )(x   )(x   ) I'll leave you to complete the brackets.

Bob

The LCM is (x - 4)(x - 4)( x + 3) or (x - 4)^2 (x + 3).

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: LCM of Polynomials...1

tick

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: LCM of Polynomials...1

tick

Perfect. You know Bob, math helps me to forget about life for a little bit. I am heavily criticized by friends and family for solving math problems. The main question is this one: WHAT'S THE POINT AT 58?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: LCM of Polynomials...1

Using your grey matter keeps it going. It's like exercise for muscles and a working cardio vascular system but in this case it helps to prevent dementia.

58 seems quite young to me. I passed that long ago.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: LCM of Polynomials...1

Using your grey matter keeps it going. It's like exercise for muscles and a working cardio vascular system but in this case it helps to prevent dementia.

58 seems quite young to me. I passed that long ago.

Bob

Yes, you are right. Solving math problems and puzzles keeps the brain functioning. Bob, people just hate to see others doing something they enjoy. I don't see how solving math problems hurts anyone. So, what is my goal? My goal is to continue a self-study of mathematics beyond college algebra.

Courses to study after college algebra:

•Precalculus
•Calculus l
•Calculus ll
•Calculus lll
•Linear Algebra

I then want to do a thorough review of high school geometry including direct amd indirect proofs. A deep review of trigonometry is so in my plans.