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Find the quadratic polynomial that completes the factorization.
Full solution
Q. Find the quadratic polynomial that completes the factorization.
- Factorization of sum of cubes: We know that is a sum of cubes, which factors as .
- Multiplication check: Now we need to check if our factorization is correct by multiplying .
- Combining like terms: w + \(2)(w^ - w + ) = w^ - w^ + w + w^ - w + \
- Final verification: Combine like terms: .
- Final verification: Combine like terms: .Since the original expression is , our factorization is correct.
