16
QuizMultiple Choice

Polynomial Functions and Theorems — Test

Question 16 • Algebra 2 with Probability

Which equation is quadratic in form?

Answer
A
3 x to the 5th power plus 8 x cubed plus 6 is equal to 0
B
5 x to the 6th power plus x to the 4th power plus 12 is equal to 0
C
x to the 9th power plus x cubed minus 10 is equal to 0
D
6 x to the 4th power plus 7 x squared minus 3 is equal to 0

Explanation

A quadratic-in-form equation can be rewritten as a quadratic equation using a substitution. In choice A, let u = x²; then 6x⁴ + 7x² − 3 = 0 becomes 6u² + 7u − 3 = 0, which is quadratic in u. The other choices do not have exponents that fit this quadratic pattern.

AI-written and checked against the verified answer.

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