Question

Someone help me with math?? I'm really confused.

Suppose you 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.

Answer 1

start by writing it in factored form and then multiply out
then you will have a factor for sure

Answer 2

for example, i pick \(x+2\) as a factor of some polynomial
then if i multiply \((x^2+x-1)(x+2)\) i know \(x+2\) is a factor

Answer 3

on the other hand, if i want to make sure that \(x+2\) is NOT a factor, i would take for example
\[(x^2+x-1)(x+2)+5\] and now \(x+2\) cannot be a factor of the result, since it will leave a remainder of 5

you can make up your own now i am sure

Answer 4

that helped so much thank you!!

Answer 5

yw