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Algebra II: Factoring

Problems

Factoring Polynomials of Degree 4

Roots

Problem : Factor 2x 4 -2y 4 .

2(x 2 + y 2)(x + y)(x - y)

Problem : Factor 4x 4 -9y 4 .

(2x 2 +3y 2)(2x 2 -3y 2)

Problem : Factor 9x 6 -16y 6 .

(3x 3 +4y 3)(3x 3 -4y 3)

Problem : Factor x 6 - y 6 .

(x + y)(x - y)(x 2 - xy + y 2)(x 2 + xy + y 2)

Problem : Factor x 4 +2x 2 - 24 .

(x + 2)(x - 2)(x 2 + 6)

Problem : Factor 28x 4 -18x 2 + 2 .

2(7x 2 -1)(2x 2 - 1)

Problem : Factor 4x 5 +16x 3 + 15x .

x(2x 2 +5)(2x 2 + 3)

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