Question

factorise x^2-5x-50​

Answer 1

x^2 - 10x + 5x - 50
x(x - 10) + 5 (x - 10)
(x - 10)(x + 5)

Answer 2

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -50

Step-1 : Multiply the coefficient of the first term by the constant 1 • -50 = -50

Step-2 : Find two factors of -50 whose sum equals the coefficient of the middle term, which is -5 .

-50 + 1 = -49

-25 + 2 = -23

-10 + 5 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 5

x2 - 10x + 5x - 50

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

x • (x-10)

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

5 • (x-10)

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

(x+5) • (x-10)

Which is the desired factorization