17
QuizMultiple Choice

Solving Quadratic Equations — Test

Question 17 • Algebraic Reasoning

Two functions are combined resulting in the function j times x is equal to negative 3 x squared plus 5 Which operations applied to the specified functions could result in j times x ? Choose three correct answers.

Answer
A
two linear functions combined by addition
B
a linear function and a quadratic function combined by addition
C
two quadratic functions combined by multiplication
D
two linear functions combined by multiplication
E
two quadratic functions combined by addition

Explanation

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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