Select the factors of xy - 4x + 2y - 8.

(x - 2) (y + 4), (x + 2) (y - 4), (x - 4) (y + 2), (x + 4) (y - 2)

Solution:

Given:

A polynomial xy - 4x + 2y - 8

Factoring a polynomial can be done by taking out the common factors.

xy - 4x + 2y - 8

Step 1: Let us take out the common factor from the first two terms.

⇒ x (y - 4)

Step 2: Take out common factor from the last two terms.

⇒ + 2(y - 4)

Step 3: By joining these two steps, we get

x (y - 4) + 2 (y - 4)

⇒ (x + 2) (y - 4)

Therefore, the factors of xy - 4x + 2y - 8 = (x + 2) (y - 4)

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Select the factors of xy - 4x + 2y - 8.

(x - 2) (y + 4), (x + 2) (y - 4), (x - 4) (y + 2), (x + 4) (y - 2)

Summary:

The selected factors of the equation are (x + 2) (y - 4).