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What is the expression in factored form?

3x^2 + 18x + 24

a. 3(x+2)(x+4)
b. 3(x-2)(x+4)
c. 3(x-2)(x-4)
d. 3(x+2)(x-4)

Respuesta :

kudzordzifrancis

Answer:

[tex]\boxed{a.\:\:3(x+2)(x+4)}[/tex]

Step-by-step explanation:

The given expression is

[tex]3x^2+18x+24[/tex]


We factor 3 to obtain;

[tex]3(x^2+6x+8)[/tex]


We split the middle term to obtain;

[tex]3(x^2+4x+2x+8)[/tex]


[tex]=3[x(x+4)+2(x+4)][/tex]

We factor further to get;

[tex]=3(x+4)(x+2)[/tex]





zainebamir540

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.

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