Algebra

 

What non-zero integer must be placed in the square so that the simplified product of these two binomials is a binomial?     

(3x+2)(15x-n)     

 

     consider (3x + 2)(15x – n)     

 

      2 • 15x gives you + 30x     

 

      n needs to be a number such that 3x • n gives you – 30x     

 

      So, n = 10     

 

      demonstrate answer:  (3x + 2)(15x – 10)  =  45x² – 30x + 30x – 20     

                                                                             45x² – 20     

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