Which of the following quadratic equations can be solved by factoring?(1 point)

Question

Responses

x2+9x=8
x squared plus 9 x equals 8

x2=2x+8
x squared equals 2 x plus 8

−12=x2−x
negative 12 equals x squared minus x

x2=4x−10

Answer 1

To determine which of the given quadratic equations can be solved by factoring, we need to rearrange each equation into standard form (ax² + bx + c = 0) and check if they can be factored.

1. x² + 9x = 8
   Rearranging gives:
   x² + 9x - 8 = 0
   This can potentially be factored.

2. x² = 2x + 8
   Rearranging gives:
   x² - 2x - 8 = 0
   This can potentially be factored.

3. −12 = x² − x
   Rearranging gives:
   x² - x + 12 = 0
   This does not factor easily (the discriminant is negative).

4. x² = 4x − 10
   Rearranging gives:
   x² - 4x + 10 = 0
   This does not factor easily (the discriminant is negative).

Based on this analysis, the quadratic equations that can be solved by factoring are:

• x² + 9x = 8
• x² = 2x + 8

So, the response includes the first and second equations.