Quadratic equation solving methods and polynomial manipulation concepts tested on the SAT math section.
39 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the quadratic formula?
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x = (-b ± sqrt(b² - 4ac)) / 2a- What does the discriminant b² - 4ac tell you?
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Whether the quadratic has two real roots, one real root, or two complex roots- What is the vertex form of a parabola?
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y = a(x - h)² + k, where (h, k) is the vertex- If b² - 4ac > 0, how many real solutions does ax² + bx + c = 0 have?
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Two distinct real solutions- If b² - 4ac = 0, what is true about the solutions to ax² + bx + c = 0?
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There is one repeated real solution (a double root)- If b² - 4ac < 0, what type of solutions does ax² + bx + c = 0 have?
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Two complex conjugate solutions- What method involves rewriting ax² + bx + c as a(x + p)² + q?
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Completing the square- For ax² + bx + c = 0, what is the sum of the two roots?
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-b/a- For ax² + bx + c = 0, what is the product of the two roots?
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c/a- What is a polynomial of degree 2 called?
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A quadratic- What is a polynomial of degree 3 called?
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A cubic- What does the remainder theorem state?
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When a polynomial p(x) is divided by (x - a), the remainder is p(a)- What does the factor theorem state?
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(x - a) is a factor of p(x) if and only if p(a) = 0- What two features determine the end behavior of a polynomial?
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The degree (even or odd) and the sign of the leading coefficient- If a polynomial has even degree and positive leading coefficient, what happens at both ends?
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Both ends extend upward to positive infinity
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