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ExoticBacoe ExoticBacoe
  • 22-07-2015
  • Mathematics
Answered

Could someone please explain to me clearly how to work this out using quadratics?


Find the values of a, b, c, d and e that make this following equation true.

4\(x^{2}\)(x-2)(x+3)+3 = ax\(x^{4}\)+b\(x^{3}\)+c\(x^{2}\)+dx+e

Verified Answer :

konrad509
konrad509 konrad509
  • 22-07-2015

\(4x^2(x-2)(x+3)+3=ax^4+bx^3+cx^2+dx+e\\ 4x^2(x^2+3x-2x-6)+3=ax^4+bx^3+cx^2+dx+e\\ 4x^2(x^2+x-6)+3=ax^4+bx^3+cx^2+dx+e\\ 4x^4+4x^3-24x^2+3=ax^4+bx^3+cx^2+dx+e\\\\ a=4\\ b=4\\ c=-24\\ d=0\\ e=3\)

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