The diagram represents the factorization of a2 + 8a + 12.What is the missing number that will complete the factorization? a2 + 8a + 12 = (a + 2)(a + )

To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=12 and j+k=b=8, so j and k must be 2 and 6

Then the factors are just (a+j)(a+k), in this case:

(a+2)(a+6)

So the missing term was 6

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nuhulawal20 nuhulawal20 · Answer 2 · 2022-04-25T18:13:23+02:00

By factorization, a² + 8a + 12 = (a + 2)(a + 6)

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

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question;

a² + 8a + 12

By factorization

We think of two numbers where their addition gives 8 multiplication gives 12.

2 and 6 fits perfectly so we have;

(a + 2)(a + 6)

By factorization, a² + 8a + 12 = (a + 2)(a + 6)

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

Learn more about quadratic equations here: brainly.com/question/1863222