zack3515
zack3515 zack3515
  • 22-07-2019
  • Mathematics
contestada

factor X^3-7x^2-5x+35 by grouping. What is the resulting expression

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 22-07-2019

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3-7x^2-5x+35

Factor out an x^2 from the first two terms and -5 from the last 2 terms

x^2 (x-7) -5(x-7)

Factor out (x-7)

(x-7) (x^2-5)

Answer Link
zrh2sfo
zrh2sfo zrh2sfo
  • 22-07-2019

Answer:

(x - 7) (x^2 - 5)

Step-by-step explanation:

Factor the following:

x^3 - 7 x^2 - 5 x + 35

Factor terms by grouping. x^3 - 7 x^2 - 5 x + 35 = (x^3 - 7 x^2) + (35 - 5 x) = x^2 (x - 7) - 5 (x - 7):

x^2 (x - 7) - 5 (x - 7)

Factor x - 7 from x^2 (x - 7) - 5 (x - 7):

Answer:  (x - 7) (x^2 - 5)

Answer Link

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