Help me please

Question

Is the given linear expression a factor of the polynomial? Show work.

f(x)=2x^3+x^2-5x+2; x+2

Answer 1

( 2 x ^ 3+ x ^ 2 - 5 x + 2 ) / ( x + 2 ) =

2 x ^ 2 - 3 x + 1

In google type .

calc 101

When you see list of results click on :

c a l c 1 0 1 . c o m

When page be open click on :

long division

In rectangle :

Divide

type :

2x^3+x^2-5x+2

In rectangle :

by

type :

x+2

Then click option :

DO IT!

Answer 2

i know how to divide polynomials using long division and also the synthetic way. But, I just don't understand what the question is trying to ask??

Answer 3

( 2 x ^ 3 + x ^ 2 - 5 x + 2 ) / ( x + 2 ) =

2 x ^ 2 - 3 x + 1

2 x ^ 2 - 3 x + 1 = ( x - 1 ) ( 2 x - 1 )

So :

2 x ^ 3 + x ^ 2 - 5 x + 2 =

( x + 2 ) ( x - 1 ) ( 2 x - 1 )

x + 2

is one of fators of :

2 x ^ 3 + x ^ 2 - 5 x + 2

Answer 4

oh okai thanks!!!