Question

How would you figure out if a binomial is a factor of a polynomial function?

Answer 1

divide the polynomial function by the binomial. If the remainder is 0, then the binomial is a factor of the polynomial function

Answer 2

Oh! Okay!!

Answer 3

or you can use the remainder theorem

given \[f(x) \div (x-a)\]

x- a is a factor IF \[f(a) = 0\]

Answer 4

So my question was... Is the binomial (x + 3) a factor of: x^3+4x^2+x-6? i would say yes because i divided i together and the remainder is 0 is this correct?

Answer 5

= (-3)^3 + 4(-3)^2 + (-3) - 6

= -27 + 4(9) - 3 - 6

= -27 + 36 - 3 - 6

= -36 + 36

= 0

yup..it's a factor

Answer 6

awesome! I feel really proud of myself :D Thanks again!

Answer 7

welcome