Question

Factor completely 2x^2 − 6x − 36.

Answer 1

• 2(x - 6)(x + 3)

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Find the greatest common factor of all three terms. The GCF is 2.

Next, we can divide each term by the greatest common factor to get:

• 2(x² - 3x - 18)

Now, we need to factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to -18 and add up to -3. These numbers are -6 and 3.

So we can completely factor it as:

• 2(x - 6)(x + 3)