Question

Show all work to factor x4 − 17x2 + 16 completely.

Answer 1

Answer:

Step-by-step explanation:

$put x^{2}=y\\squaring\\x^{4}=y^{2}\\y^2-17y+16=y^2-y-16y+16=y(y-1)-16(y-1)=(y-1)(y-16)\\replacing the value of y\\x^4-17x^2+16=(x^2-1)(x^2-16)=(x+1)(x-1)(x+4)(x-4)$