Knowee
Questions
Features
Study Tools

A binomial has been partially factored, as shown below:x2 − 25 = (x + 5)(_____)Which of the following binomials represents the missing factor? (x − 5) (x + 5) (x − 20) (x + 20)

Question

A binomial has been partially factored, as shown below:x2 − 25 = (x + 5)(_____)Which of the following binomials represents the missing factor? (x − 5) (x + 5) (x − 20) (x + 20)

🧐 Not the exact question you are looking for?Go ask a question

Solution

Para resolver el problema, sigamos estos pasos:

  1. Identifiquemos la forma factorizada del binomio dado. La expresión original es x225x^2 - 25.
  2. Reconozcamos que x225x^2 - 25 es una diferencia de cuadrados. La fórmula general para la diferencia de cuadrados es a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b).
  3. En este caso, a=xa = x y b=5b = 5, ya que 25=5225 = 5^2.
  4. Sustituyamos aa y bb en la fórmula de la diferencia de cuadrados: x225=(x+5)(x5)x^2 - 25 = (x + 5)(x - 5).

Por lo tanto, el binomio que representa el factor faltante es (x5)(x - 5).

This problem has been solved

Similar Questions

x2 – 10x + 25A.(x – 5)(x – 5)B.(x + 5)(x + 5)C.Does not factorD.(x – 5)(x + 5)

Which of the binomials below is a factor of this trinomial?6x2 - 5x - 25A.6x + 5B.2x + 5C.6x - 5D.2x - 5SUBMITarrow_backPREVIOUS

Which of the binomials below is a factor of this trinomial?­-2x2 - 16x + 40A.x - 10B.x + 5C.x + 10D.x - 5SUBMITarrow_backPREVIOUS

Factor completely 2x2 − 16x + 30. 2(x + 3)(x + 5) 2(x − 3)(x + 5) 2(x − 5)(x + 3) 2(x − 5)(x − 3)

Factor completely 18x2 − 21x −15.Group of answer choices3(2x + 1)(3x − 5)3(2x − 5)(3x + 1)3(2x − 1)(3x + 5)3(6x + 1)(x − 5)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.