Quae23 Quae23
  • 20-10-2016
  • Mathematics
contestada

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

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OnlyOneMathWiz
OnlyOneMathWiz OnlyOneMathWiz
  • 20-10-2016
(x-7) (x2-5) giving you the answer of x3-7x2-5x+35
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lisboa lisboa
  • 24-06-2019

Answer:

[tex](x-7)(x^2-5)[/tex]

Step-by-step explanation:

Factor [tex]x^3 - 7x^2 - 5x + 35[/tex] by grouping

We group first two terms and last two terms

[tex](x^3 - 7x^2)+(-5x + 35)[/tex]

Factor out GCF from each group

GCF of first group is x^2 and GCf of second group is -5

[tex]x^2(x-7)-5(x-7)[/tex]

Now we factor out x-7

[tex](x-7)(x^2-5)[/tex]

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