Question

What is the expression in factored form?

Answer 1

Answer:

$\boxed{a.\:\:3(x+2)(x+4)}$

Step-by-step explanation:

The given expression is

$3x^2+18x+24$

We factor 3 to obtain;

$3(x^2+6x+8)$

We split the middle term to obtain;

$3(x^2+4x+2x+8)$

$=3[x(x+4)+2(x+4)]$

We factor further to get;

$=3(x+4)(x+2)$

Answer 2

Answer:

Choice a is correct answer.

Step-by-step explanation:

Given expression is :

3x²+18x+24

We have to represent above expression in factored form.

As we have noticed that the expression contains the multiples of 3.

taking 3 as common from given expression,we get

3(x²+6x+8)

Now, spit the middle term of above expression so that the product of two terms should be 8 and their sum be 6.

3(x²+4x+2x+8)

Making two groups and taking two terms as common,we get

3(x(x+4)+2(x+4))

Taking (x+4) as common,we get

3(x+4)(x+2) which is the factored form of 3x²+18x+24.