Question

completely factor the polynomial, if possible.

\\27 - 3x^2\\

Explanation:

Factor out the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$ 27 - 3x^2 = 3(9 - x^2) $$

Factor the difference of squares

Using the Difference of Squares knowledge point

$$ 9 - x^2 = (3 - x)(3 + x) $$

Combine the factored components

Using the Factoring Polynomials knowledge point

$$ 27 - 3x^2 = 3(3 - x)(3 + x) $$

Answer:

\(3(3 - x)(3 + x)\)