Ontario Free Tutoring And Homework Help For Math 12 University - Advanced Functions

  0

0 Tutors Online Right Now

Factor completely using the factor theorem. f(x)= x^4+8x^2+4x^2-48x

 

2 months ago

Answered By Majid B

I think there is typo and f(x)=x4+8x3+4x2-48x

f(x)=x(x3+8x2+4x-48)

g(x)=x3+8x2+4x-48

Factors of 48: +-1, +-2, +-3, +-4, +-6, +-8, +-12, +-16, +-24

g(1)=1+8+4-48#0

g(-1)=-1+8-4-48#0

g(2)=8+32+8-48=0

Synthetic Division: g(x)÷(x-2)

         1     8      4       -48

 2             2     20       48

         1   10     24       R=0

g(x)=(x-2)(x2+10x+24)

x2+10x+24=(x+4)(x+6)

f(x)=x(x-2)(x+4)(x+6)