Factor 6×4 – 5×2 + 12×2 – 10 by grouping. What is the resulting expression?

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Question:

Factor 6×4 – 5×2 + 12×2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6×2 + 5)(x2 – 2)
(6×2 – 5)(x2 + 2)

Answer:

The factored form of the expression is

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

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