Factorize:

4x⁴ + 7x² – 2

We have,

Now by using middle-term splitting, we get

= 4y² + 7y – 2

= 4y² + 8y – y – 2

= 4y (y + 2) – (y + 2)

= (y + 2) (4y – 1)

Now,

Replacing y by x², we get

4x⁴ + 7x² – 2

= (x² + 2) (4x² – 1) [Therefore, a² – b² = (a – b) (a + b)]

= (x² + 2) (2x + 1) (2x – 1)

Hence,

The given expression can be factorized as: