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ACT
Math
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Official Section Instructions
The questions in this section address key mathematical skills. The embedded Desmos graphing calculator and reference formula sheet are available for all questions in this section.
Unless a question indicates otherwise: All variables and expressions represent real numbers. Figures provided are drawn to scale. All figures lie in a plane. The domain of a given function \(f\) is the set of all real numbers \(x\) for which \(f(x)\) is a real number.
Tip: Click the Formulas button in the top navigation bar to open the official College Board reference sheet.
The polynomial \( P(x) = x^4 - 2x^3 - 11x^2 + 12x + 36 \) has a known root of \( x = 3 \) with multiplicity 2. What are the other two roots of the polynomial?
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