Trigonometry_ Ice Cream life: Another just simple math blog :)

Hi there, its another MATH blog :).

i thought of starting with a random picture,so that the math blog wont be so mathy >:P

Today pic :D

this is a pretty picture ^.^,it makes me feel like i'm in a spy movie:)

well on today's math blog our aim today is:(tan-tan-tan)

How do we Factor by grouping?

when we factor a equation, we use the cubic equation
like:
2x3+ 4x2+25x+10= 0

because this equation is a cubic equation we cannot use the diamond problem to find the factors.

lets get started :
Step 1: we separate this equation in half like : 2x3+4x2
Step 2: we find the greatest common factor of 2x3+4x2.
in this case 2x2 is their common factor,because both 2 and 4 are divisible by 2 and both of them have x's.

Step 3: using the common factor we can make a factor of 2x3+4x2
for example:
2x3+4x2 (original part)
2x2(x+2) (undistributed part )
Step 4: then we find the common factor of the second part of the equation.
For example: 25x+10
5(x+2)
5 = the greatest common factor
(x+2)= is the factor of 25x+10

Step5: connect the parts together.

2x2(x+2) + 5(x+2)

Step 6: finishing up by grouping it.
For example:
2x2(x+2) + 5(x+2)

(2x2+5) = connect both the 2x2+5 into one parenthesis.
(x+2)= stays the same.

Final answer:
(2x2+5)(x+2)

Now you try :