Question

X^2+10x-24/x+12 factorise the numerator and simplify the

Answer 1

Answer:

Factoring x2 - 10x - 24

The first term is, x2 its coefficient is 1 .

The middle term is, -10x its coefficient is -10 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -10 .

-24 + 1 = -23

-12 + 2 = -10 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 2

x2 - 12x + 2x - 24

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

x • (x-12)

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

2 • (x-12)

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

(x+2) • (x-12)

Which is the desired factorization