16
QuizMultiple Choice

Solving Quadratic Equations — Test

Question 16 • Algebraic Reasoning

Two functions are combined resulting in the function j times x is equal to 1 point 5 x squared plus 4 x minus 3 Which operations applied to the specified functions could result in j times x ? Choose three correct answers.

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

Explanation

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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