Question 6 • Algebraic Reasoning
The function j(x) = −3x² + 5 is quadratic, so each operation must be able to produce a quadratic expression. Adding a linear function to a quadratic can produce a quadratic, and adding two quadratic functions can also produce one. Multiplying two linear functions can produce an x² term. Multiplying two quadratic functions generally produces a degree-4 expression, while adding two linear functions stays linear.
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