Question

solve
root x²-25 - (x-25)= root x²-16x+55​

Answer 1

Answer:

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is +55

Step-1 : Multiply the coefficient of the first term by the constant 1 • 55 = 55

Step-2 : Find two factors of 55 whose sum equals the coefficient of the middle term, which is -16 .

-55 + -1 = -56

-11 + -5 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -11 and -5

x2 - 11x - 5x - 55

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

x • (x-11)

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

5 • (x-11)

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

(x-5) • (x-11)

Which is the desired factorization