Factoring- Mr.Mellady

Simplifying Expressions

100

2x⁴-3x²

x²(2x²-3)

200

15x²+75x

 15x(x+5)

300

X²-4X-21

(X-7)(X+3)

400

3a(a²-25)

3a(a+5)(a-5)

500

8x²+88x+144

8x(x+9)(x+2)

Solving by Factoring

100

15b²=45b

b=0,b=3

200

2y²-7y+3=0

y=3,y=1/2

300

(5j+10)(3+2j)=0

j=-2,-3/2

400

25h²-100=0

h=2,-2

500

4v²+7=12v-2(v-5)

v=17/4,1

Rational Expressions

100

(3x²-9x)

----------

(x²-9)

3x

-----

(X+3)

200

(M+4)

--------

(M²+7M+12)

1

----

(M+3)

300

2(x-3)                (x+5)

-------         *     --------

(x+5)(x-5)          (x-3)  

2

-----

(x-5)

400

(n²+5n+6)                 (n-4)

-------------   *           --------

(n-4)                          (n+3) 

n+2

500

(2k²-8k)                            k

----------     (divided by)  --------

(k²-16)                            (k+4)

2

Word Problems?

100

How many terms do you need in a polynomial to be able to factor by grouping?

4

200

How many terms do you need in a polynomial to factor use the difference of 2 squares shortcut?

2

300

How many terms do you need in a polynomial to use the table?

3

400

What is the 1st factor method you would use in order to factor completely?

100x²-4y²

Greatest Common Factor (GCF)

500

How many X values of the following equation are there? Why not more?

(X²-5X+6)

——————

(X-5)(X+2)

2 not 4 because we can’t divide by 0

Misc. (x2 points)

100

g⁵g²

g⁷

200

7y^4
------
y^-2

7y⁶

300

 x^{5                      x}

^{---- (Divided by)   ---}

 ^{y                         y2}

x⁴y

400

(12r³a²+3r²a²-9r)

---------------------

          3ra

4r²a+ra-3/a

500

((t+5)/9)

------------

(t²-t-30)/12)

  4

-----

3(t-6)