Question

HELP?!?! 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

Do it backward. Start with a binomial; let's pick
x + 1.

Now multiply that by another binomial; let's pick
x - 2.

Multiply those together using FOIL:
(x + 1)(x - 2) =
x^2 - 2x + 1x - 2 =
x^2 -x - 2

Now we have a polynomial, and we already know that a binomial (x +1) is a factor of it. So our sample problem could be

(x^2 - x - 2) / (x + 1)

Done!

Answer 2

thank you ace(:

Answer 3

no problem :D