Chapter+9

12x^2yz^3=2*2*3*x*x*y*z*z*z 18xyz^=2*3*3*x*y*z =6xyz^2
 * 9.1**

(Times negative numbers by -1) -72:-1*2*2*2*3*3

prime-factors are only 1 and itself. Composite-more than 2 factors. 0 ,and 1 are neither prime or composite.

3x-15=3(x-5) what gets get 3x when multiplying 3 and what gets you to -15 when multiplying 3 then those two numbers you put in the. __**9.2**__ Factor using distributive property. Factoring by Grouping- Group terms with common factors, Factor GCF by grouping, Distribute. 12x^2yz^3=2*2*3*x*x*y*z*z*z 18xyz^=2*3*3*x*y*z Take all of the numbers you haven't used and put them in 's Take GCF put it out side

ab=0 so, a=0 or b=0

factor them out and figure out what they would be if the answer its a certain number. __**9.3**__ X^2 +__BX__+C Look for 2 numbers that mulitiply to equal C, but add 2 equal B.

x^2+7x10 =0 (x+5) (x+2 )=0 ( When you foil it, you will 1rst problem) (-5,-2) Both numbers + p^2-16p+64 Both negative (p-8)(p-8) {8}

x^2+2xy+y^2 (x+y) (x+y)

In the solution set change the sign (positive, or negative)

If product is positive and sum is negative both numbers must be negative.

2x^2-3x-2 Final answer must be -4(2*-2) And still equal -3
 * __9.4__ Factor Trinomials**

1. see if their are any GCF other then 1 (if their are break it out) 2. If the "A" vaule is anything other than 1 * it by c. 3. Looking for all the numbers to mulitply A and C,but equal a sum of B. 4.Break B into 2 parts using the factors. 5.Factor by grouping 6.If you are solving problem (=0) figure out what is the missing value so the terms equal 0 7. Write your final solution set in{,} least to greatest. 8. Subsitute values back in and check work.

You mght need to combine terms before you factor them.

a^2-16 (a+4) (a-4)
 * __9.5__ Factor the differences of squares**

m^2-100 (m+10) (m-10)

1.GCF 2.Factor

If their is no GCF it is prime

__**9.6**__