mmoreno637 mmoreno637
  • 12-12-2019
  • Mathematics
contestada

Which polynomial, when added to the polynomial 5x^2–3x–9, is equivalent to x^2–5x+6?

Respuesta :

EamonnAdams1992 EamonnAdams1992
  • 13-12-2019

Answer:

[tex]-4\cdot{x^2}-2\cdot{x}+15[/tex]

Step-by-step explanation:

We can look at the terms one by one. We know that to get 5 to 1 we must add -4 so the first term is:

[tex]-4\cdot{x^2}[/tex]

For the x term to go from -3 to -5 we must add -2, so the second term is

[tex]-2\cdot{x}[/tex]

Lastly, to go from -9 to 6 we must add 15. The final polynomial added is:

[tex]-4\cdot{x^2}-2\cdot{x}+15[/tex]

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