8
AssignmentMultiple Choice

Factoring Trinomials: a > 1

Question 8 • FL-1200700-Mathematics for College Algebra MIS

What is the factored form of 36x4 – 25?

Answer
A
(6x2 – 5)(6x2 + 5)
B
(6x2 – 5)(6x2 – 5)
C
(6x2 – 25)(6x2 + 25)
D
(6x2 – 25)(6x2 – 25)

Explanation

Use the difference-of-squares rule: a² − b² = (a − b)(a + b). Here, 36x⁴ = (6x²)² and 25 = 5², so 36x⁴ − 25 factors as (6x² − 5)(6x² + 5), the choice written as (6x2 – 5)(6x2 + 5).

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