froggies805
froggies805 froggies805
  • 15-03-2021
  • Mathematics
contestada

Factor the expression completely.
x^4-11x^2+28
x
4
−11x
2
+28

Respuesta :

jacobEwing
jacobEwing jacobEwing
  • 16-03-2021

Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation.  We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

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