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8 multiple-choice questions and 25 flashcards on Polynomials and Factoring, about 5% of the High School Algebra 1 bank. Every one carries a written rationale.
Polynomials and Factoring is one of 8 chapters in CoStudy's High School Algebra 1 bank, and it holds 8 of the bank's 150 multiple-choice questions — roughly 5% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
1 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
Convert: 0.000045 to scientific notation.
Answer: A — 4.5 × 10⁻⁵ (move decimal 5 places right, exponent is negative for small numbers)
Scientific notation: a × 10ⁿ where 1 ≤ |a| < 10. Move decimal 5 places right: 0.000045 → 4.5. Compensate with × 10⁻⁵. Negative exponent for numbers < 1.
4 cards from the 25 in this chapter.
Classify by number of terms: monomial, binomial, trinomial.
1 term, 2 terms, 3 terms.
Multiply: (2x − 1)(x + 4).
2x² + 8x − x − 4 = 2x² + 7x − 4.
Factor by grouping: x³ + 2x² + 3x + 6.
x²(x + 2) + 3(x + 2) = (x + 2)(x² + 3).
Factor: x² + 7x + 12.
(x + 3)(x + 4). Find two numbers that multiply to 12 and add to 7.
These are a sample. The full Polynomials and Factoring chapter runs 33 items with per-chapter progress tracking, on the web and in the iOS app.
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