Back to Rewrite expressions using structure — Problem 2 · Task Set 3

HSA.SSE.A.2 Tutor Intake — Rewriting Expressions Using Structure

This short check helps your tutor understand where to start. Answer each question on your own — no notes or calculator. If you're not sure, give your best try. The goal is to find what to work on together, not to grade you.

Grade 9·10 problems·~15 min·Common Core Math - HS Algebra·standard·hsa-sse-a-2

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Procedures

Factor: $x^3 - 8$ .

Using the difference of cubes formula
$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$ , the factored form is
$(x - 2)(x^2 + 2x + k)$ for some value $k$ .

What is $k$ ?