Quadratics

Learning goals

• Choose factoring, the quadratic formula, or a graph as the solving tool.
• Connect coefficients to the shape or intercepts of a parabola.

Explanation

A quadratic expression can often be written as ax² + bx + c. Useful approaches include factoring, completing the square, using the quadratic formula, and interpreting a graph.

Common mistakes

• Forgetting that a quadratic can have two, one, or no real solutions.
• Dropping the ± when using the quadratic formula.

Quick review

1. 01Set the expression equal to zero before solving.
2. 02Check whether factoring is faster than the formula.
3. 03Interpret solutions in the units of the word problem.

Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

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  Official SAT practice hub

  College Board SAT practice landing page, including links to tests and tools.

  College Board · All rights reserved · accessed 2026-10-01

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  Bluebook full-length practice

  Official digital SAT practice tests in the Bluebook app.

  College Board · All rights reserved · accessed 2026-10-01

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  Student Question Bank

  Official SAT practice questions hosted by College Board.

  College Board · All rights reserved · accessed 2026-10-01

  Use as an external link. Do not republish question stems.

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  Official SAT Prep on Khan Academy

  College Board describes this as free Official SAT Prep with lessons, hints, and walkthroughs.

  Khan Academy / College Board · All rights reserved · accessed 2026-10-01

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  OpenStax College Algebra 2e

  Algebra reference; current terms include noncommercial and AI-ingestion limits.

  OpenStax · Restricted — see publisher page · accessed 2026-10-01

  Open source