Respuesta :

The factorized form of 2y² - 5y + 2 is (2y - 1) (y - 2)

Factorization

Given:

  • 2y² - 5y + 2

= 2y² - 4y - y + 2

= 2y(y - 2) - 1(y - 2)

= (2y - 1) (y - 2)

  • 5x² + 2x - 7

= 5x² - 5x + 7x - 7

= 5x(x - 1) + 7(x - 1)

= (5x + 7) (x - 1)

  • The value of x for which 5x² + 2x - 7 = 0

5x² + 2x - 7 = 0

5x² - 5x + 7x - 7 = 0

5x(x - 1) + 7(x - 1) = 0

(5x + 7) (x - 1) = 0

5x + 7 = 0 or x - 1 = 0

5x = - 7 or x = 1

x = -7/5 or x = 1

Therefore, the value of x for which 5x² + 2x - 7 = 0 is -7/5 or 1

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