roehrskathry24
roehrskathry24 roehrskathry24
  • 02-10-2019
  • Mathematics
contestada

Show all work to factor x4 − 17x2 + 16 completely.

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 02-10-2019

Answer:

Step-by-step explanation:

[tex]put x^{2}=y\\squaring\\x^{4}=y^{2}\\y^2-17y+16=y^2-y-16y+16=y(y-1)-16(y-1)=(y-1)(y-16)\\replacing the value of y\\x^4-17x^2+16=(x^2-1)(x^2-16)=(x+1)(x-1)(x+4)(x-4)[/tex]

Answer Link

Otras preguntas

What area of the long bone is covered with cartilage
Describe William Shakespeare in one word
Which is an example of bivariate data?(1) age of students in a club(2) grade level and age of students in a school(3) type of lunch each student orders at schoo
in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series
What are the possible values for x in the equation 4x^2 = 64(1) x=0        (2) x=4       (3) x=4,-4      (4) x=0,4,-4
The traits of populations in the forest ecosystem have changed over time. What caused the traits to change?
Zoey made 6 3/4 cups of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much fruit salad did they eat?
What is the state at which a net force is zero called
What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72(1) 22                (2) 28
The traits of populations in the forest ecosystem have changed over time. What caused the traits to change?