Question

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression? (6x + 5)(x2 – 2) (6x – 5)(x2 + 2) (6x2 + 5)(x2 – 2) (6x2 – 5)(x2 + 2)

Answer 1

`x^(2)`(6
`x^(2)` - 5) + 2(6
`x^(2)` - 5
(6
`x^(2)` - 5) (
`x^(2)` + 2)

Answer: D).

Answer 2

Answer: The correct option is (D)
`(6x^2-5)](x^2+2).`

Step-by-step explanation: We are given to factorize the following polynomial expression of degree 4 by grouping :

`P(x)=6x^4-5x^2+12x^2-10.`

Let x² = y, then the given expression becomes

`P(x)\\\\=6x^4-5x^2+12x^2-10\\\\=6y^2-5y+12y-10\\\\=y(6y-5)+2(6y-5)\\\\=(6y-5)(y+2)\\\\=(6x^2-5)(x^2+2).`

Thus, the required factorized form is
`(6x^2-5)(x^2+2).`

Option (D) is CORRECT.