Here is to those who are having problems with factoring. Factoring polynomials is divided into different steps. I am just going post a Factoring Strategy, some B.K. ( background knowledge) on the GCF and further practice problems.
1) GCF- the largest monomial that divides into each of the terms in a polynomial .
- That means is that to find a number (monomial) that divides ( is a factor) into all of the terms in the equation (Polynomial).
For example with 14x<5-4x<3+2x,>
((NOTE: <>
Practice:
Factor out the GCF: .x(3x-1)+5(3x-1)
The Factoring Strategy :
ALWAYS check for th GCF first.
II. Binomials:
a. x < 2- a < 2 = (x + a)(x - a)
b. x<3+a<3 = (x + a) (x < 2 - ax + a < 2)
c. x < 3 =" (x">
III. Trinomials:
a. x < 2 + bx + c
Perfect square trinomial:
a < 2 =" (a">
a < 2 =" (a">
IV. Polynomials with four terms:
Factor by grouping
PRACTICE:
Factor 27a < 2 + 36a + 12 completely.
Factor y < 4 – 16 completely.
Factor x < 3 + 64y < 3 completely.
Factor 6x < 2 – 17x + 5 completely.
Factor x <>
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1 comment:
mpooh,
Thanks for jumpng in and getting us started.
The symbol you want is above the 6 on the keyboard: 4x^2
You can go back in and edit that and anything else by clicking on the pencil icon at the end of your post. I end up editing many of my posts after some time goes by and I see that some things could be better.
I hope your efforts will not only help others with factoring but will also inspire them to make their own posts on other topics.
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