x ^ 2 + 12x + 24 factorise the following expression
Answers
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
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 -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Observation : No two such factors can be found !!
Answer:
48x
Step-by-step explanation:
2+12x+24 factories expression