6
lesson pretestMultiple Choice

Pretest

Question 6 • Algebra 1

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. Martha's Work f of x is equal to 5 x cubed plus 2 x squared plus 7 x minus 3 What possible changes can Martha make to correct her homework assignment? Choose two correct answers.

Answer
A
The constant, negative 3 , can be changed to a variable.
B
The exponent on the second term, 2 x squared , can be changed to a 3 and then combined with the first term, 5 x cubed .
C
The first term, 5 x cubed , can be eliminated.
D
The 7 x can be eliminated.
E
The exponent on the first term, 5 x cubed , can be changed to a 2 and then combined with the second term, 2 x squared .

Explanation

A quadratic function has a highest power of 2, and its terms must have constant coefficients. Martha’s function includes a cubic term, 5x³, so eliminating that term would leave a quadratic function: 2x² + 7x − 3. Alternatively, changing 5x³ to 5x² lets it combine with 2x², giving 7x² + 7x − 3, also quadratic. Changing the constant to a variable would not make it a quadratic function with constant coefficients.

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