Question

factor by grouping.

\\x^3 - 4x^2 + 5x - 20\\

\\x^3 - 4x^2 + 5x - 20 = \boxed{\quad}\\

Explanation:

⚡ Using what you learned: Factoring by Grouping

Step 1: Group the terms

$$ (x^3 - 4x^2) + (5x - 20) $$

Step 2: Factor out the GCF from each group

$$ x^2(x - 4) + 5(x - 4) $$

Step 3: Factor out the common binomial

$$ (x - 4)(x^2 + 5) $$

Answer:

$$ (x - 4)(x^2 + 5) $$