ivyappeldorn ivyappeldorn

05-03-2020
Mathematics

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What is the complete factorization of the polynomial below?
x^3+ 5x^2- x-5

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miljanamilovanovic12 miljanamilovanovic12

05-03-2020

Answer:

(x-1)(x+1)(x+5)

Step-by-step explanation:

x^3+5x^2 - x-5=

x^3-x+5x^2-5=

x(x^2-1) +5(x^2 - 1)=

(x^2- 1)(x+5)=(*)

(x-1)(x+1)(x+5)

(*) A^2 - B^2 =(A-B)(A +B)

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