Question 16 • Algebraic Reasoning
The result, j(x) = 1.5x² + 4x − 3, is a quadratic polynomial with a nonzero x² term. Adding two quadratic functions can produce this form, as can adding a linear function to a quadratic function. Multiplying two linear functions can also produce a quadratic, with their coefficients chosen to match the given terms. Adding two linear functions would remain linear, while multiplying two quadratic functions would generally produce a degree-four polynomial.
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