Drplague Drplague
  • 08-11-2022
  • Mathematics
contestada

consider the polynomial function p given by p(x)=5x^3+6x^2+4x
evaluate the function at x=-5 and x=15

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 08-11-2022

Answer:

  • p(-5) = -495
  • p(15) = 18285

Step-by-step explanation:

You want the value of p(x)=5x^3+6x^2+4x for x=-5 and x=15.

Horner form

Writing a polynomial in Horner form can simplify evaluation.

  p(x) = ((5x +6)x +4)x

p(-5)

  p(-5) = ((5(-5) +6)(-5) +4)(-5) = (-19(-5) +4)(-5) = 99(-5) = -495

p(15)

  p(15) = ((5(15) +6)(15) +4)(15) = (81(15) +4)(15) = 1219(15) = 18285

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