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Across
  1. 2. A grid-like arrangement of numbers or expressions organized into rows and columns.
  2. 3. A polynomial expression that contains exactly two distinct terms.
  3. 6. The horizontal distance required for a periodic function to complete one full cycle.
  4. 8. A specific relation where every unique input corresponds to exactly one output.
  5. 10. The number of times a linear factor appears in the completely factored form of a polynomial
  6. 12. A polynomial function characterized by a leading term with a power of two.
  7. 16. A mathematical expression made up of multiple terms, variables, and exponents.
  8. 17. The power to which a base must be raised to produce a specific desired number.
  9. 19. The ratio of vertical change to horizontal change between two points on a line.
  10. 20. The value of the largest exponent found within a polynomial expression.
  11. 22. The branch of mathematics focused on the properties and relationships of triangles.
  12. 26. An expression formed by the quotient of two polynomial functions.
  13. 28. A number that combines a real part and an imaginary part in $a + bi$ form.
  14. 29. The numerical multiplier located in front of a variable term.
  15. 30. A number system based on the unit $i$, where $i$ is defined as the square root of negative one.
  16. 31. The operation of substituting one entire function into another function, often written as $f(g(x))$.
  17. 32. A mathematical symbol indicating the extraction of a root, such as square or cube.
  18. 34. The complete set of independent input values for which a function is defined.
  19. 35. The set of all possible output values produced by a function.
  20. 36. A solution derived through correct algebraic steps that fails to satisfy the original equation.
  21. 37. A trigonometric ratio representing the opposite side over the adjacent side in a right triangle
  22. 38. The total sum generated by adding the terms of a specific sequence together.
  23. 39. The pair $(a - bi)$ used to rationalize a denominator containing the complex number $(a + bi)$.
Down
  1. 1. The geometric shape resulting from graphing any second-degree polynomial function.
  2. 4. An algebraic expression that consists of only a single term.
  3. 5. A conic section consisting of two mirrored, open-ended curves that open in opposite directions.
  4. 7. The multiplicative inverse of a number, often found by "flipping" the fraction.
  5. 9. Any collection of ordered pairs $(x, y)$ that describes a connection between sets.
  6. 11. The reflection of a function over the identity line $y = x$
  7. 13. An efficient method of polynomial division used specifically when dividing by a linear factor
  8. 14. The value $b^2 - 4ac$ that predicts the nature and number of roots for a quadratic.
  9. 15. The coordinate representing the extreme turning point or peak of a parabolic curve.
  10. 18. A boundary line that a curve approaches infinitely but never reaches.
  11. 21. The operation of multiplying a sequence of descending natural numbers, denoted by an exclamation point.
  12. 23. The value left over when a polynomial is not perfectly divisible by a given factor.
  13. 24. The specific type of logarithm that utilizes the transcendental base
  14. 25. An x-intercept where the value of the function is equal to nothing.
  15. 27. The non-negative distance of a value from the origin on a number line.
  16. 33. A group of curves, including ellipses and hyperbolas, formed by slicing a double cone.
  17. 38. A list of numerical values that follow a predictable mathematical pattern or rule.