Unit 4 · Factorization
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Student Learning Outcomes covered
- Recall factorization: ka+kb+kc (common factor), ac+ad+bc+bd (pairs), a\u00b2\u00b12ab+b\u00b2 (perfect squares), a\u00b2-b\u00b2 (difference of squares)
- Factorize (a\u00b2\u00b12ab+b\u00b2)-c\u00b2 and (\u221aa)\u00b2-(\u221ab)\u00b2 forms
- Factorize Type I (a\u2074+a\u00b2b\u00b2+b\u2074, a\u2074+b\u2074), Type II (x\u00b2+px+q), Type III (ax\u00b2+bx+c)
- Factorize Type V (perfect cube expansions) and Type VI (a\u00b3\u00b1b\u00b3)
- State and prove the remainder theorem; find the remainder without dividing
- Define zero of a polynomial; state and prove the factor theorem
- Describe synthetic division; use it to find quotient/remainder and unknown values
- Use the factor theorem to factorize a cubic polynomial
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