34+-+Sec.+10.5C

= 10.5C Factoring Quadratic Trinomial: = = Box Method =

=

 * In order to do the box method, you need to create a 2 by 2 box. Then, you put the first term of the trinomial in the upper left hand box and the last term in the lower right hand box. Then, you multiply those 2 numbers to get a higher number than you find 2 numbers that multiply to equal that number and also add up to the middle term. After you find those 2 numbers, you put them in the remaining boxes Then, you factor each side of the box. Finally, you add the factors at the top into one group and the factors on the side to another, and then you have your answer. **=====

34 - Sec. 10.5C

​ Example 1: 2x^2+5x+2 2x^2*2 +4x^2 (4x and 1x) Second box above. Answer: (x+2)(2x+1)



Example 2:x^2+3x+2 x^2*2=2x^2(1x, 2x) First box above. Answer (x+2)(2x+1)

Example 3: x^2+5x+6 x^2*6=6x^2(3x, 2x) Answer (x+3)(x+2) (box above)

__//** Practice Problems **//__- get a piece of paper and do the box method Factor: 3x 2 +8x+5 Factor: x 2 +6x+8