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The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24

Respuesta :

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: [tex]a^2+8a+12[/tex]

We factorize:

[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]

Therefore, the missing number that will complete the factorization is 6.

akposevictor

Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

What is Factorization?

Factorization can be defined as a process of resolving a product into factors.

Thus:

a² + 8a + 12

a² + 6a + 2a + 12

(a² + 6a) + (2a + 12)

a(a + 6) +2(a + 6)

(a + 2)(a + 6)

Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Learn more about factorization on:

https://brainly.com/question/25829061

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