Question

Match each polynomial with its listed factors in the table.

x48x² + 16
X4-16
х6 - 8
x4 + 2x²-8
x-2x²-2 x² +4

Answer 1

Here are the polynomials with their corresponding factors:

x^4 + 16 = (x^2 + 4)(x^2 - 4) = (x^2 + 4)(x + 2)(x - 2)

8x^6 - 64 = 8(x^6 - 8) = 8(x^3 - 2)(x^3 + 2)

x^4 + 2x^2 - 8 = (x^2 - 2)(x^2 + 4) = (x + sqrt(2))(x - sqrt(2))(x^2 + 4)

x^2 - 2x^2 - 2x + 4 = (x - 2)(x^2 + 4)

Note: I used "sqrt(2)" to represent the square root of 2.