Factor Theorem & Polynomial Long Division

Is x=1 a factor of t(x)=2x^3+x^2-4x-3

=0

Show that (x+2) is a factor of h(x)= x^4+2x^3-13x^2-14x+24

=0 .'. x+2 is a factor of h(x)

Show that (x-1) is a factor of g(x)= x^3+9x^2+11x-21

=0 .'. x-1 is a factor of g(x)

Show that (x+2) is NOT a factor of n(x)=4x^3+9x^2-4x-9

=3 .'. x+2 is not a factor of h(x)

Is (x+1) a factor of p(x)=3x^3+11x^2+12x+4 FT/PLD

p=0 .'. x+1 is a factor of p(x) =0 .'. SS= (-1, -2/3, 2)

Is (x-2) a factor of q(x)=x^3-2x^2-4x+8 FT/PLD

q=0 .'. x-2 is a factor of q(x) =0 .'. SS=(-2,2)

Polynomial Long Division

divide 1st term "how many times does x go into ___" put this #x^_ on top multiply #x^_ by both terms put a (-) outside ( )'s and subtrac all repeat process

PLD

divide 1st term multiply subtract bring down results