3
QuizMultiple Choice

Quadratic in Form Polynomials

Question 3 • GA-Advanced Algebra: Concepts and Connections CR

Which equation is quadratic in form?

Answer
A
4(x – 2)2 + 3x – 2 + 1 = 0
B
8x5 + 4x3 + 1 = 0
C
10x8 + 7x4 + 1 = 0
D
9x16 + 6x4 + 1 = 0

Explanation

An equation is quadratic in form when its variable powers can be written as 2n, n, and 0, so the substitution u = x^n makes it a quadratic equation. In choice C, the powers are 8, 4, and 0; setting u = x^4 gives 10u² + 7u + 1 = 0. Thus, the equation with terms 10x⁸, 7x⁴, and 1 is quadratic in form.

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