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

what is the most important concept in greek art?
what is the volume of a cubed shaped box with edges 6 cm in length?
which statement describes an example of erosion? a). wind blows against the side of a rock and results in abrasion of rock. b). water freezes within a section
the product of 8 and z plus the product of 6.5 and y
Rebecca has a streptococcus bacterial infection. The back of her throat is inflamed on the left and right sides. What can the lymphatic system do to help Rebecc
State Faraday's law in words
durning which period did jamestown suffer its longest unbroken period of drought
which of the following is not resistant to bacteria growth
Did trade and migration spread knowledge of algricultre to humans around the world
Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct va