for the given polynomial P(x) and the given c, use the remainder theorem to fid P(c).

P(x)=3x^3-7x^2-2x+5 ; c=-3

Question

for the given polynomial P(x) and the given c, use the remainder theorem to fid P(c).

P(x)=3x^3-7x^2-2x+5 ; c=-3

experimentx · Answer

-133

anonymous · Answer

how did you get that?

experimentx · Answer

put the value x=-3,
it seems that x+3 is not factor of P(x)

anonymous · Answer

so for this one 
P(x)=4x^4+x^2-2 ; c= -1

if it doesnt equal 0 its not a factor?

anonymous · Answer

or does it have to equal the the value of c?

experimentx · Answer

yup ...

experimentx · Answer

no ... it must be zero if x+1 is a factor of P(x)

experimentx · Answer

let me say again ... if x+a is a factor of P(x) then p(-a) must be equal to zero

anonymous · Answer

ohh ok
when plugging in c to p(x)
it must equal 0 for it to be a factor

experimentx · Answer

for example we have P(x) = x^2 - 3x + 2
now we have P(-1)  = 0, so, x+1 is factor of P(x)
and so is x-2,
but P(5) != 0 therefore x-5 is not factor of P(x)

anonymous · Answer

ohh

can you do just this one

P(x)=4x^4+x^2-2 ; c= -1

experimentx · Answer

P(-1) = 4 + 1 - 2 = 3 != 0 so x+1 is not a factor of P(x)

anonymous · Answer

i get it!
Thank you