Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression? (5x2 + 2)(3x – 1) (5x2 – 2)(3x + 1) (15x2 + 2)(x – 1) (15x2 – 2)(x + 1)

Respuesta :

"A".............................nswer:

Explanation:

When we factorise 15x³ – 5x² + 6x – 2 by grouping, the result obtained is (5x² + 2)(3x – 1)

Data obtained from the question

  • 15x³ – 5x² + 6x – 2
  • Factorisation =?

How to factories 15x³ – 5x² + 6x – 2

We can factorise 15x³ – 5x² + 6x – 2 by grouping as illustrated below:

15x³ – 5x² + 6x – 2

(15x³ – 5x²) + (6x – 2)

5x²(3x – 1) + 2(3x – 1)

(5x² + 2)(3x – 1)

Thus,

15x³ – 5x² + 6x – 2 = (5x² + 2)(3x – 1)

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