Question

(x2 + 10x + 24) by (x+ 4)

Answer 1

Answer:

(x + 6)

Step-by-step explanation:

(x2 + 10x + 24) by (x + 4)

Consider x2 + 10x + 24

Splitting the middle term,

x2 + 4x + 6x + 24

Factorize

x(x + 4) + 6(x + 4)

(x + 4) (x + 6)

So, x2 + 10x + 24 = (x + 4) (x + 6)

Now,  x2 + 10x + 24 by (x + 4) =  (x + 4) (x + 6) by  (x + 4)

= (x + 6)

Thus, on dividing (x2 + 10x + 24) by (x + 4), we get (x + 6).