fairlyaround
fairlyaround fairlyaround
  • 02-06-2020
  • Mathematics
contestada

Factor 4x^2-52x+160 completely

(would be great if all work was shown, please) ☺☺​

Respuesta :

jimrgrant1 jimrgrant1
  • 02-06-2020

Answer:

4(x - 5)(x - 8)

Step-by-step explanation:

Given

4x² - 52x + 160 ← factor out 4 from each term

= 4(x² - 13x + 40) ← factor the quadratic

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 13)

The factors are - 5 and - 8, since

- 5 × - 8 = + 40 and - 5 - 8 = - 13, thus

x² - 13x + 40 = (x - 5)(x - 8)

Then

4x² - 52x + 160 = 4(x - 5)(x - 8)

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