Factoring polynomials?

Question

I've got this problem: 24x^3+40x^2-54x-90 I got as far as 2(12x^3+20x^2-27x-45) and I don't know how to proceed. Help please? I think these problems get harder as I go, so if there's a basic step-by-step for factoring polynomials, that'd be nice to know about too.

Answer 1

Alright so now you group them.

2( (12x^3+20x^2) (-27x-45) )

Next you find the GCF of each group of numbers.

2( 4x^2(3x+5) -9(3x+5) )

Next you put the outside numbers in one bracket and the matching numbers as another.

2( (4x^2-9) (3x+5) )

Then you use difference of squares method on the first group of numbers because they are both perfect squares and they are separated by a minus sign.

So (4x^2-9) becomes:

(2x-3) (2x+3)


So your final equation will be

(2x-3) (2X+3) (3x+5)

Answer 2

3 1/3 - 2 5/6 =

Answer 3

2/3 of 9

4/5 of 15

1/4 of 12

I am trying to help my child but we seemed to be getting diffent answers.

Answer 4

The course text describles factoring as "reversing the process" or multiplying polonomials.

Think about a situation in which you had to move forward to get a result, but then had to retrace your steps.

Example:  I know the age I would like to retire.  I need to work backward to determine how much I need to invest now and then to achieve my financial goals.

How does reversibility of thought give me new insight into the situation?

How can I use algebra to help me thing in reverse?

In what ways might thinking in reverse help me understand larger issues in society?

I was asked to explained this in a paragraph.  I need help!

Answer 5

i Need help with my homework!

Answer 6

I need lots of help.  I am in college after being out of school fo more than 10 years.  I need basics.  Where is a good place to go to get the basics?  I am in pre-algebra now and doing pretty good, but honestly I have never heard of  polynomials. What can I do?

Answer 7

what is the surface area of a prism which as sides of 5in,4in,8in?

Answer 8

4 5/7% into a fraction

Answer 9

se presta cierta suma al 4 1/2 % anual y en 6 años se convertita en 1893.50 ¿cual fue la cantidad prestada?

Answer 10

IDnt Even No Lol :) !!

Answer 11

sorry idont know too

Answer 12

oh my i dont really know

Answer 13

The remainder obtained when 2x3 +ax2 -6x +1 is divided by (X+2) is twice the remainder obtained when the same expression is divided by (x-3).find the value of a.

Answer 14

asdsadasdasdasdsad

Answer 15

Factor Polynomials- 2ak-6a+k-3

Answer 16

can all data plots be represented by a polynomial eqution?

Answer 17

in un triangolo rettangolo il rapporto tra i cateti è 5 terzi e la loro somma misura 48cm.Calcola l'area del triangolo

Answer 18

in un triangolo rettangolo il rapporto tra i cateti è 5terzi e la loro somma misura 48cm.Calcola l'area del triangolo

Answer 19

I got a question of coordinate geometry The normals at three points P, Q, R of a parabola meet at o. Prove that SP+SQ+ SR+SA=2OM S is focus, A is vertical , OM perpendicular from O on the tangent at vertex

Answer 20

Please help me with this maths problem plz plz plz! 2ysquare+6y-5y-15

Answer 21

as far as i know...the degree of the polynomial correspond to number of its roots...

Answer 22

Ti-89 says 2(2x-3)(2x+3)(3x+5)

Answer 23

use your brain!!!! IDIOT!!! be more determine and find the answer by yourself!!

Answer 24

-x^2+x+2=0

Answer 25

factoring polynomials using whatever strategy that seems appropriate 3h2+1+3a and 9w-w3 what are the steps for these 2 problelms?

Answer 26

(4x-7)+(7x-8)