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Nina [5.8K]
2 years ago
7

Which are differences of perfect cubes? Select two options

Mathematics
2 answers:
OLga [1]2 years ago
4 0

Answer: c and d

Step-by-step explanation:

schepotkina [342]2 years ago
3 0

Answer: The last 3 choices

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What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5?
Dennis_Churaev [7]

Roots of the polynomial x^3-5x+5=2x^2-5 are x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2

Step-by-step explanation:

We need to find roots of the polynomial equation: x^3-5x+5=2x^2-5

Solving the polynomial to find roots:

x^3-5x+5=2x^2-5\\Rearranging:\\x^3-5x+5-2x^2+5=0\\x^3-2x^2-5x+10=0

Finding factors by grouping:

(x^3-2x^2)(-5x+10)=0\\Finding\,\,common\,\,terms:\\x^2(x-2)-5(x-2)=0\\(x^2-5)(x-2)=0\\x^2-5=0\,\,and\,\,x-2=0\\x^2=5\,\,and\,\,x=2\\x=\pm \sqrt{5}\,\,and\,\,x=2

So, roots of the polynomial x^3-5x+5=2x^2-5 are x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2

Keywords: Roots of Polynomial

Learn more about Roots of Polynomial at:

  • brainly.com/question/2568692
  • brainly.com/question/1464739
  • brainly.com/question/1332667
  • brainly.com/question/2364381

#learnwithBrainly

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