8
QuizMultiple Choice

Quadratic in Form Polynomials — Quiz

Question 8 • Algebra II

Which equation is quadratic in form?

Answer
A
4 x to the 9th power plus 20 x cubed plus 25 is equal to 0
B
2 times open paren x plus 5 close paren squared plus 8 x plus 5 plus 6 is equal to 0
C
7 x to the 6th power plus 36 x cubed plus 5 is equal to 0
D
x to the 6th power plus 6 x to the 4th power plus 8 is equal to 0

Explanation

An equation is quadratic in form when its powers can be written as 2n, n, and 0, so a substitution such as u = xⁿ turns it into a quadratic. In choice C, the powers are 6, 3, and 0; setting u = x³ gives 7u² + 36u + 5 = 0. Thus, the equation with 7x⁶ + 36x³ + 5 = 0 is quadratic in form.

AI-written and checked against the verified answer.

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