Question

factor the polynomial.
27p² - 12p + 9
27p² - 12p + 9 = □

Explanation:

Step1: Find the GCF of coefficients

The coefficients are 27, -12, and 9. The GCF of 27, 12, and 9 is 3.
$$\text{GCF}(27, 12, 9) = 3$$

Step2: Factor out the GCF

Factor out 3 from each term of the polynomial \(27p^2 - 12p + 9\).
$$27p^2 - 12p + 9 = 3(9p^2 - 4p + 3)$$

Answer:

\(3(9p^2 - 4p + 3)\)