Question

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.

Answer 1

Using factorization, the missing factor is (a + 6) of the given quadratic equation  a² + 8a + 12 = 0.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

The quadratic equation is a² + 8a + 12 = 0

The factor of the quadratic equation will be.

$\begin{aligned}a^2 + 8a + 12 &=0 \\a^2 + 6a + 2a +12 &= 0\\(a+ 6)(a +2 ) &= 0\\\end{aligned}$

Thus, the missing factor is (a + 6).

More about the quadratic equation link is given below.

brainly.com/question/17177510