Question

divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided. PLS help i'm so lost..

Answer 1

HEY

Answer 2

Hi

Answer 3

BYE

Answer 4

ok bye o.O

Answer 5

if you have a binomial (x + a)

then if you substitute x = -a into the polynomial P(x)

then if P(-a) = 0, (x + a) is a factor

this is called the factor theorem.

as a simple example is (x - 2) a factor of
\[P(x) = x^2 +5x -14\]

then evaluate P(2)

\[P(2) = (2)^2 + 5(2) - 14\]

P(2) = 0

so a factor

Answer 6

im still lost and is that considered an example problem

Answer 7

yes it it...

the basics are if you have a binomial....

(x + a): substitute x = -a

(x -a): substitute x = a

into the polynomial.... if the answer is zero.. then you have a factor.