4
AssignmentMultiple Choice

Factoring Polynomials: Difference of Squares

Question 4 • 26MATH_Recovery_Alg1B22

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

Recognize 36x⁴ – 25 as a difference of squares: 36x⁴ = (6x²)² and 25 = 5². Using a² – b² = (a – b)(a + b), the factored form is (6x² – 5)(6x² + 5), which is choice A.

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