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Writing Polynomial Functions from Complex Roots

Question 1 • [INMT3] Integrated Math 3 Sem 1 (26-27)

Use substitution to write an equivalent quadratic equation.(3x + 2)2 + 7(3x + 2) – 8 = 0

Answer
A
u² + 7u - 8 = 0, where u = (3x + 2)²
B
u² + 7u - 8 = 0, where u = 3x + 2
C
u² + 7u - 8 = 0, where u = 7(3x + 2)
D
u² + u - 8 = 0

Explanation

Let u = 3x + 2, since that expression appears both squared and as a first-power term. Substituting gives u² + 7u − 8 = 0, which is choice B. Using u = (3x + 2)² would not correctly replace the first-power term.

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