Question

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

Answer 1

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)