Tap to view steps... Use the remainder theorem and the factor theorem to determine whether ( x + 2 ) is a factor of the function of, f( x ) = 2x^4 + 3x^3 + 8

Question

Tap to view steps... Use the remainder theorem and the factor theorem to determine whether ( x + 2 ) is a factor of the function of, f( x ) = 2x^4 + 3x^3 + 8

Answer 1

2(-2)^4 + 3(-2)^3 + 8

= 32 -24 +8

= 16,

x+2 is not a factor

remainder = 16,

to be a factor remainder =0

quotient is 2x^3 -x^2+2x-4