ACT polynomial questions focus on simplifying expressions, factoring, and evaluating—combine like terms, watch exponents, and factor common patterns before reaching for heavy algebra. Full polynomial division is rare; recognition beats long division.
What shows up
Adding/subtracting polynomials, multiplying (FOIL or grid), factoring GCF and quadratics, and substituting values. Sits in the algebra band covered in how much algebra is on the ACT.
Factoring patterns
- Greatest common factor first
- Difference of squares: a² - b² = (a+b)(a-b)
- Trinomials—same skills as factoring quadratics
Multiplying
Distribute carefully; track exponents when multiplying powers (x² · x³ = x⁵). Rules in exponent rules.
Evaluating f(x)
Replace the variable with the given input and simplify step by step. Plugging in can beat symbolic manipulation—see plugging in numbers.
Start practicing
Start with a free diagnostic, then drill your weak spots with 15-question quizzes and track how you're doing across Reading, English, and Math. Compare plans whenever you're ready to go further.
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