Question

y²-16y-104 factorize​

Answer 1

Answer:

(y + 5) • (y - 21)

Step-by-step explanation:

1.1     Factoring  y2-16y-105 

The first term is,  y2  its coefficient is  1 .

The middle term is,  -16y  its coefficient is  -16 .

The last term, "the constant", is  -105 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -105 = -105 

Step-2 : Find two factors of  -105  whose sum equals the coefficient of the middle term, which is   -16 .

     -105   +   1   =   -104     -35   +   3   =   -32     -21   +   5   =   -16   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -21  and  5 

                     y2 - 21y + 5y - 105

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

                    y • (y-21)

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

                    5 • (y-21)

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

                    (y+5)  •  (y-21)

             Which is the desired factorization

Final result :

(y + 5) • (y - 21)

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