Quadratic functions questions attached

Question 1:

For this case we must factor the expression:

Rewriting the expression:

By definition, we have to fulfill that:

So, we can factor the expression as:

Question 2:

For this case we must factor the expression:

We take common factor 9 from the expression:

By definition, we have to fulfill that:

Finally, rewriting the expression we have:

Question 3:

For this case we must factor the expression:

To factor, we must find two numbers that, when multiplied, are obtained -8, and when added together, +2 is obtained. These numbers are +4 and -2:

Thus, we can factor the expression as:

Question 4:

For this case we must factor the expression:

We rewrite the middle term as:

We group:

We draw common factor from each group:

We take common factor

Question 5:

For this case we must factor the expression:

To factor, we must find two numbers that, when multiplied, are obtained 24, and when added together, -2 is obtained. These numbers do not exist. Thus, the expression cannot be factored with rational numbers.

The expression cannot be factorized with rational numbers.

Question 6:

For this case we must factor the expression:

We take 2x common factor:

To factor the expression within the parenthesis, we must find two numbers that when multiplied are obtained -3, and when added together, +2 is obtained. These numbers are +3 and -1:

Thus, we can factor the complete expression as:

28

step-by-step explanation:

because that's the answer