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Assignment:

1­­>L8.4, pg. 496, #2­28 (evens) ­ skip #22 ­ Due Wednesday (3/28)
2­­>Checkpoint 8.1 ­ 8.3 ­ Due Wednesday (3/28)




                                                                     1
Lesson 8.4 WarmUp:
Factor each polynomial.
1) 14c  +  2c2

2)   12jk2  +  6j2k  +  2j2k2

Solve each equation.  Check your solutions.
3) 3x(x  ­  10)  =  0

4)   x2  =  14x

5)   (4x  +  2)(3x  ­  9)  =  0




                                              2
Lesson 8.4:
*To factor trinomials that don't have a leading coefficient of "1"...
    ax2  +  bx  +  c...
         find 2 integers, m and p, with a sum of b and a product of ac.
         then write ax2  +  mx  +  px  +  c, and factor by grouping.

                           ex­­>2x2  +  5x  +  3
            sum of 
  factors   factors




                                                                          3
*prime polynomial ­ a polynomial that cannot be written as a product of 2 
polynomials with integer coefficients 

                               ex­­>4x2  ­  3x  +  5
            sum of 
  factors   factors




****Always make sure and "factor" the trinomial first!




                                                                             4
Lesson 8.4 examples:
Factor each polynomial.  If it can't be factored using integers, write prime.
A) 7x2  +  29x  +  4                                                    sum of 
                                                              factors   factors




B)   3x2  +  15x  +  18
                                                                        sum of 
                                                              factors   factors




                                                                                  5
sum of 
C)   3x2  ­  17x  +  20   factors   factors




D)   2x2  ­  x  ­  1
                                    sum of 
                          factors   factors




                                              6
E)   4x2  ­  3x  +  5             sum of 
                        factors   factors




F)   4x2  ­  x  +  7    factors
                                  sum of 
                                  factors




                                            7
Solve each equation.  Check your solutions.
                                                        sum of 
G) 2x2  +  9x  ­  18  =  0                    factors   factors




H)   3x2  ­  10x  = ­8                                  sum of 
                                              factors   factors




                                                                  8

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