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QuizMultiple Choice

Quadratic in Form Polynomials

Question 1 • GA-Advanced Algebra: Concepts and Connections CR

What substitution should be used to rewrite 4x4 – 21x2 + 20 = 0 as a quadratic equation?

Answer
A
u = x2
B
u = 2x2
C
u = x4
D
u = 4x4

Explanation

The equation contains x⁴ and x², so let u = x². Then x⁴ = (x²)² = u², and the equation becomes 4u² − 21u + 20 = 0, which is quadratic in u. The correct choice is A, u = x².

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