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)

Respuesta :

1. Factor out common terms in the first two terms, then in the last two terms
x^2(6x^2-5)+2(6x^2-5)

2. Facto out the common term 6x^2-5
(6x^2-5)(x^2+2)

Have a nice day :D

The factored form of the expression is [tex](6x^2 - 5)(x^2 + 2)[/tex]

Factoring by grouping

Given the expression 6x^4 – 5x^2 + 12x^2 – 10

Group the terms to have:

  • (6x^4 – 5x^2) + (12x^2 – 10)

Factor out the common values

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

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

Hence the factored form of the expression is [tex](6x^2 - 5)(x^2 + 2)[/tex]

Laern more on factored form here: https://brainly.com/question/3024511