factoring

The X-factor- the easy way to factor trinomials

x2-17x+42 remember it is ax2+bx+c


Draw a large X

Product
X
Sum


42 - The last number (c)
X now what multiples to the top number and adds to bottom
-17 - The middle number (b)

List the products of 42:
1 times 42
-1 times -42
2 times 21
-2 times -21
3 times 14
-3 times -14 === This ones has a sum to -17 (The factors!)


42
-3 X -14
-17


So factors are (x-3)(x-14)
This works on Trinomials where the number beside x2 is 1.

Thanks
Trevor Doyle, Math Teacher
Mountain Oaks School
 
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