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.
sorry, it won't let me use the picture.
What is the missing number that will complete the factorization?
A. 6
B. 8
C. 12
D. 24
Pease hurry i'm on a timed test! :(
the actual answer is 6
To factorize the expression a^2+8a+12, we need to find two binomials that multiply together to give this expression.
The first term in each binomial will be "a" because the variable "a" is squared.
Next, we need to find two numbers whose product is 12 (the constant term) and whose sum is 8 (the coefficient of "a").
The numbers that satisfy this condition are 6 and 2.
So, the factorization is (a + 6)(a + 2).
The missing number that completes the factorization is 6.
Therefore, the answer is A. 6.
To find the missing number that will complete the factorization, let's analyze the given information.
In the first column of the table, we have the terms "a squared" and "2a". These terms suggest that when we factorize the expression, it will have a common factor of "a".
In the second column of the table, we have the terms "?" and "12". These terms suggest that the factorization will also have a common factor of "12".
Considering these clues, we can deduce that the missing number in the table is the common factor of both "a" and "12". Looking at the entries in the table, we can see that the missing number is "6".
Therefore, the missing number that will complete the factorization is:
A. 6