angelma12
angelma12 angelma12
  • 31-03-2020
  • Mathematics
contestada

How do I factor this quadratic expression as the product of two binomials
x^2-x-42

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 31-03-2020

Answer:

  (x +6)(x -7)

Step-by-step explanation:

Look for factors of -42 (the constant) that have a sum of -1 (the x coefficient).

  -42 = 1×-42 = 2×-21 = 3×-14 = 6×-7

Sums of these factor pairs are -41, -19, -11, and -1. The last two factors are the ones that are the constants in your binomial terms:

 x^2 -x -42 = (x +6)(x -7)

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