Respuesta :

mathstudent55

Answer:

x² + 5x - 14 = (x + 7)(x - 2)

x² - 3x - 54 = (x - 9)(x + 6)

x² + 8x + 12 = (x + 2)(x + 6)

x² - 11x + 30 = (x - 5)(x - 6)

x² - 25 = (x + 5)(x - 5)

x² + 8x - 9 = (x - 1)(x + 9)

Step-by-step explanation:

To factor x² + ax + b, look for two numbers whose sum is a and whose product is b.

The factorization of x² - a² is (x + a)(x - a).

x² + 5x - 14 = (x + 7)(x - 2)

x² - 3x - 54 = (x - 9)(x + 6)

x² + 8x + 12 = (x + 2)(x + 6)

x² - 11x + 30 = (x - 5)(x - 6)

x² - 25 = (x + 5)(x - 5)

x² + 8x - 9 = (x - 1)(x + 9)

The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

Factoring quadratic expressions

From the question we are to factor the given quadratic expressions

  • y = x² + 5x - 14

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

  • y = x² -3x - 54

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

  • y = x² +8x + 12

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

  • y = x² -11x +30

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

  • y = x² - 25

y = (x +5)(x -5)

  • y = x² + 8x - 9

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

  • y = x² - 16

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

Learn more on Factoring quadratic expressions here: https://brainly.com/question/52959

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