Algebra II 3.10: Factor Over the Complex Numbers

Factor the expression completely over the complex numbers. y^4 + 14y^2 + 49

((y + i√7)(y - i√7))^2

Factor the expression completely over the complex numbers. y^4 + 12y^2 + 36

((y - i√6)(y + i√6))^2

Factor the expression over the complex numbers. x^2+20

(x + 2i√5)(x - 2i√5)

Factor the expression completely over the complex numbers. x^4 − 81

(x + 3)(x - 3)(x + 3i)(x - 3i)

Factor the expression completely over the complex numbers. x^3 + 5x^2 + 9x + 45

(x + 5)(x + 3i)(x -3i)

Factor the expression over the complex numbers. x^2 + 36

(x + 6i)(x - 6i)

Factor the expression over the complex numbers. x^2 + 18

(x − 3i√2)(x + 3i√2)

Factor the expression completely over the complex numbers. y^4 − 16

(y - 2)(y + 2)(y - 2i)(y + 2i)

Factor the expression completely over the complex numbers. y^3 + 2y^2 + 16y + 32

(y - 4i)(y + 4i)(y + 2)

Factor the expression over the complex numbers. y^2 + 49

(y - 7i)(y + 7i)