Question

factorise and divide
a²+5a+4 and a²+4a​

Answer 1

Answer:

(a-1) (a-4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -5 .

-4 + -1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -1

a2 - 4a - 1a - 4

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

a • (a-4)

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

1 • (a-4)

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

(a-1) • (a-4)