Question

Solve 4x4 + 7x2 – 2 = 0. Choose the factored form of the polynomial expression.

Answer 1

Answer:

1st question result is: (4x^2-1)(x^2+2)

2nd question result is: -1/2, 1/2, -i sqrt 2, i sqrt 2

Step-by-step explanation:

Answer 2

$4x^4 +7x^2 -2=0\\16x^4 +7(4)x^2 -8\\(4x^2 +8)(4x^2-1)=0\\(x^2+2)(4x^2-1)=0\\x^2 + 2 =0 \vee 4x^2-1 = 0$

$x^2+2 = 0$

Only has solutions in the complex numbers.

$x= \sqrt{-2} \\x = \pm i \sqrt{2}$

And

$4x^2-1 = 0\\x^2 = \frac{1}{4}\\x = \pm \frac{1}{2}$