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 many times during the year will the sun appear at the zenith in los angeles?
The atomic number of an element is always the same as
Which cells are produced during the first few divisions of the zygote? a. epithelial cells b. cardiac muscle cells c. bone cells d. embryonic stem cells
A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow. To the nearest degree, what angle does the sun make with the ground? Enter y
What were the new forms of technology that propelled the industrial revolution?
rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diameter of 8 inches. the other cake i
The girls swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls
Please help me out!!!!!!!!
How can identifying the rhyme scheme help you understand a poem
What school was originally called the State Normal School for Colored Students?