SOLUTION: Can you please explain to me how to factor in Algebra?

Question 2786: Can you please explain to me how to factor in Algebra?
Answer by WannabeCAgirl83(35) (Show Source): You can put this solution on YOUR website!

Here's an example:
4x� + 3x + 10 = x(4x + 3 + 10/x)

You simply divide everything by x:
4x� : x = 4x (...as x ∙ 4 x = 4x�)
3x : x = 3 (...as x ∙ 3 = 3x)
10 : x = 10/x (...as x ∙ 10/x = 10)

x(4x + 3 + 10/x) → If you multiply everything in ( ) by x you will get 4x� + 3x + 10
4x� + 3x + 10 → If you divide everything in ( ) by ex you will get x(4x + 3 + 10/x)

RELATED QUESTIONS
Can you explain to me how to do explicit formulas in algebra... (answered by Fombitz)

Factor completely: 8p^2 + 7pq - 18q^2 Can someone please explain to me in detail... (answered by jim_thompson5910)

I don't understand how to factor a polynomial. Can you explain to me how to do this... (answered by Alan3354)

can you please explain how to factor this. thanks in advance again... (answered by josgarithmetic)

ok i really need help with actually learning liner algebra can you explain it to me... (answered by stanbon)

y squared + 19y + 60 can you please explain how to factor... (answered by checkley77)

Can you please explain how to factor 36x^2-1. I am drawing a complete... (answered by solver91311,scott8148)

Can someone please explain to me how to factor ax^2+bx+c? I don't understand how to do (answered by solver91311)

how do you factor polynomials? I cant seem to get it, can you please explain how to do... (answered by ankor@dixie-net.com)