Question

factorixe
2p+180 42p!
5-2 (0-4).
equation​

Answer 1

Answer:

Step-by-step explanation:

The first term is,  p2  its coefficient is  1 .

The middle term is,  -21p  its coefficient is  -21 .

The last term, "the constant", is  +90  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 90 = 90  

Step-2 : Find two factors of  90  whose sum equals the coefficient of the middle term, which is   -21 .

     -90    +    -1    =    -91  

     -45    +    -2    =    -47  

     -30    +    -3    =    -33  

     -18    +    -5    =    -23  

     -15    +    -6    =    -21    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  -6  

                    p2 - 15p - 6p - 90

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-15)

             Add up the last 2 terms, pulling out common factors :

                   6 • (p-15)

Step-5 : Add up the four terms of step 4 :

                   (p-6)  •  (p-15)

           Which is the desired factorization

answer= 2 • (p - 6) • (p - 15)

hope it helps

:)

Answer 2

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