blocka61 blocka61
  • 15-09-2019
  • Mathematics
contestada

Find a polynomial / (1) of degree 4 that has the following zeros.
0, 5, 6, 1

Respuesta :

jdoe0001 jdoe0001
  • 15-09-2019

[tex]\bf \begin{cases} x = 0&x = 0\\ x = 5\implies &x-5=0\\ x= 6\implies &x-6=0\\ x=1\implies &x-1=0 \end{cases}\qquad \qquad \qquad (x)(x-5)(x-6)(x-1)=\stackrel{y}{0} \\\\\\ (x)\stackrel{F~O~I~L}{(x^2-11x+30)}(x-1)=y\implies (x^3-11x^2+30x)(x-1)=y \\\\\\ x^4-11x^3+30x^2-x^3+11x^2-30x=y\implies x^4-12x^3+41x^2-30x=y[/tex]

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