Kuta Software Algebra 2 Big Old Factoring Worksheet -

Problem #25: 16x⁴ - 81 . Difference of squares? Yes: (4x² - 9)(4x² + 9) . Then the first factor is difference of squares again: (2x-3)(2x+3)(4x²+9) . Check!

Alex smiles. "Kuta Software. Big Old Factoring Worksheet. Sophomore year." Kuta Software Algebra 2 Big Old Factoring Worksheet

And somewhere in Chicago, the servers at Kuta Software silently continue generating new versions of that same worksheet — changing the numbers, keeping the structure, preserving the rite of passage for the next generation. If you'd like, I can even reconstruct the actual 60-problem worksheet from memory/common Kuta patterns, or create an answer key. Just let me know. Problem #25: 16x⁴ - 81

Alex whispers to themselves: "What have I done to deserve this?" The worksheet is carefully designed by the mysterious "Kuta Software" — a company based in Chicago that has been churning out math worksheets since the late 1990s. Their style is unmistakable: clinical, repetitive, and brutal. Then the first factor is difference of squares

The next day in class, Ms. Garcia says, "Now, before the factoring quiz… let's review the 'Big Old' worksheet."

But then comes : x⁵ - x³ - 8x² + 8 . Grouping? Try: x³(x² - 1) - 8(x² - 1) . Factor out (x²-1) : (x²-1)(x³ - 8) . Then (x-1)(x+1)(x-2)(x²+2x+4) . Alex writes the answer, erases it twice, then writes it again, heart pounding.

By problem #18, doubt creeps in: 3x³ + 24 . GCF of 3 gives 3(x³ + 8) . Wait — sum of cubes! 3(x+2)(x² - 2x + 4) . Phew.