5
practice testMultiple Choice

Practice Test

Question 5 • Algebra 2 with Probability

Which statement best describes the equation x to the 5th power plus x cubed minus 14 is equal to 0 ?

Answer
A
The equation is quadratic in form because it is a fifth-degree polynomial.
B
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.
C
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
D
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2 .

Explanation

A polynomial is quadratic in form when its exponents can be written as 2n, n, and 0, allowing a substitution to make it a quadratic. Here the nonconstant exponents are 5 and 3; they do not have that relationship, so the equation cannot be rewritten as a second-degree polynomial by substitution. Thus, the statement that it is not quadratic in form is correct.

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