RootyWatoody82
RootyWatoody82 RootyWatoody82
  • 18-11-2019
  • Mathematics
contestada

Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-11-2019

Answer:

  p(x) = x⁴ +12x³ +48x² +64x

Step-by-step explanation:

If -4 is a zero, then (x -(-4)) = (x +4) is a factor. If its multiplicity is 3, then it is a factor 3 times. The other factor is (x-0) = x, so the function is ...

  p(x) = x(x +4)³

Expanding gives ...

  p(x) = x⁴ +12x³ +48x² +64x

Ver imagen sqdancefan
Answer Link

Otras preguntas

how does cliff collapse affect the environment
why does the Arabian peninsula have small amounts of farming?
Find the the simplest form of 325/1000
which map is best to show one continent and why?
What Is 0.15 on the number line
17/50 what is 17/50 in percentage and decimal?
Put brackets in the calculation below to make it correct. 15 - 4 x 2 + 1 = 3
how do we write 2.51 in expanded form and in word form
what are the similarities between academic and personal writing and what are the differences
25-[2+5y-3(y+2)]=-3(2y-5)-[5(y-1)-3y+3]