FactoringFactoring

How to Factor a binomial, find the How to Factor a binomial, find the difference of two perfect squares, difference of two perfect squares, Factoring a trinomial with a is not Factoring a trinomial with a is not

1 and a is one1 and a is one

Methods used for each Methods used for each problemproblem• For Factoring A binomial I use is I find For Factoring A binomial I use is I find

the GCF or the greatest common factor. the GCF or the greatest common factor. For The difference of two perfect if I For The difference of two perfect if I find x2-16 then I would use this method find x2-16 then I would use this method first break down and then put in first break down and then put in parenthesis like this parenthesis like this ( - )( + ). For a ( - )( + ). For a trinomial with a is not 1 I would use trinomial with a is not 1 I would use MFDM or as in MFDM or as in multiply,factor,divide,multiply. If it’s a multiply,factor,divide,multiply. If it’s a is 1 I would use diamond is 1 I would use diamond X. X.

Why I use particular methodWhy I use particular method

• For factoring a binomial I use GCF because For factoring a binomial I use GCF because if I don’t use GCF I will not be able to solve if I don’t use GCF I will not be able to solve correctly thus leading to a wrong answer. correctly thus leading to a wrong answer. For the difference of 2 perfect squares I For the difference of 2 perfect squares I use breaking down and (-)(+) is if the use breaking down and (-)(+) is if the problem is like this x2-16. For trinomial a problem is like this x2-16. For trinomial a is 1 I use Diamond is for the same reason is 1 I use Diamond is for the same reason to find the answer. For a is not 1 I use to find the answer. For a is not 1 I use MFDM if the if its like this 4x2-16-36MFDM if the if its like this 4x2-16-36

Factoring a binomialFactoring a binomial

• 2n2-42n2-4 first I find the GCF GCF=2 first I find the GCF GCF=2

• N2-2N2-2 That’s the answer That’s the answer

The Difference of two perfect The Difference of two perfect squaressquares

• X2-16X2-16 First break down First break down

• x*x 4*4x*x 4*4

• Then put in parenthesis but in Then put in parenthesis but in parenthesis have it like this (x-4)parenthesis have it like this (x-4)(x+4)(x+4)

• That’s the answerThat’s the answer

Factoring a trinomial with a is Factoring a trinomial with a is not 1not 1

• 10x2-9x+210x2-9x+2 First write down MFDM to First write down MFDM to remember the method.remember the method.

• Multiply-x2-9x+20Multiply-x2-9x+20

• Factor-x2-9x -5-4Factor-x2-9x -5-4

• Division-(x-Division-(x-5/55/5)(x-)(x-44)=(x-)=(x-11)(x-)(x-44))

10/5 10 2 1010/5 10 2 10

move the 10 in front of the xmove the 10 in front of the x (x-1)(10x-4) (x-1)(10x-4)

That’s the answerThat’s the answer

Factoring with a is oneFactoring with a is one

• a2+3a+4a2+3a+4 First make diamond X First make diamond X then on top its 4 and on bottom its then on top its 4 and on bottom its going to be 3.going to be 3.

• Then it should be 1 and 3Then it should be 1 and 3

• Last put 1 and 3 in parenthesis like Last put 1 and 3 in parenthesis like thisthis

(a+1)(a+3)(a+1)(a+3)

That’s the answerThat’s the answer