6
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 6 • [INMT3] Integrated Math 3 Sem 1 (26-27)

What is the completely factored form of 25x4 – 16y2?

Answer
A
(5x4 + 4y)(5x – 4y)
B
(5x3 + 4y)(5x2 – 4y)
C
(5x2 + 4y)(5x2 – 4y)
D
25x4 – 16y2

Explanation

Recognize 25x⁴ − 16y² as a difference of squares: 25x⁴ = (5x²)² and 16y² = (4y)². Apply a² − b² = (a + b)(a − b) to get (5x² + 4y)(5x² − 4y), choice C.

AI-written and checked against the verified answer.

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