This week in math 10, we learned how to factor ugly trinomials. What makes a trinomial ugly? The coefficients are big numbers. For this blog post, I will solve this polynomial: 2x2+17x+35
First I must multiply and leading coefficient (2) and the constant together (35), to get the total (2*35=70).
Next, I will list out all of the factors of 70 and see with set can add to 17:
70
1*70
2*35
5*14
7*10
7+10=17 so I can now put all of these number into the box to do the reverse box method.
|
2x2 |
7x |
|
|
10x |
35 |
Note: It dose not matter where you but the xs.
Now I can fill not the box. To find the outside find what is similar between the number in the row or column. 2x2 and 7x have x common. 10x and 35 have 5 in common. 2x2 and 10x have 2x in common. 7x and 35 have 7 in common
|
2x |
7 |
|
|
x |
2x2 |
7x |
|
5 |
10x |
35 |
Now I can take the out side number and put them into an equation.
(x+5)(2x+7)