Question

How do you factor x^7 - 16x^5 + 5x^4 - 80x^2?

Answer 1

Answer:

x²(x+4)(x-4)(x+∛5)(x²-∛5x+∛25)

Step-by-step explanation:

x^7 - 16x^5 + 5x^4 - 80x^2

= x²{(x^5-16x^3)+(5x^2-80)}

= x²{x³(x²-16)+5(x²-16)}

= x²(x²-16)(x³+5)

= x²{(x)²-(4)²}{(x)³+(∛5)³}

= x²(x+4)(x-4)(x+∛5)(x²-∛5x+∛25)