3. Write the following equations in factored form. Remember to common factor first

Question

3. Write the following equations in factored form. Remember to common factor first

(if possible).
𝑦 = 𝑥power2 − 6𝑥 − 27

Answer 1

𝑦 = (𝑥 − 9)(𝑥 + 3)

Answer 2

To factor the equation 𝑦 = 𝑥^2 - 6𝑥 - 27, we can first look for a common factor among the terms. In this case, there is no common factor.

Next, we need to find two numbers that add up to -6 (the coefficient of 𝑥) and multiply to -27 (the constant term). After some calculations, we find that the numbers are -9 and 3.

Now we can rewrite the equation as:

𝑦 = (𝑥 - 9)(𝑥 + 3)

So, the factored form of the equation 𝑦 = 𝑥^2 - 6𝑥 - 27 is 𝑦 = (𝑥 - 9)(𝑥 + 3).