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Help me with polynomial functions?
I need help with this...
y=x^3-3x^2-13x+15
I need to know its:
Degree: I think its 3.
Leading coefficient: I think its 1.
Constant: I dont know what they mean by constant.
Factors: Do they want me to factor it or what?
Roots or Zeroes: Do I add up the roots? What are zeroes?
I got like 20 of these I need to answer. I dont want you to do my homework for me, but I need help understanding this. After I get how to do this one, I should be able to do the rest.
1 Answer
- mizooLv 77 years agoFavorite Answer
Degree: I think its 3. (you are right)
Leading coefficient: I think its 1. (you are right)
Constant: the term that doesn't have x, i.e 15.
Factors: factor it and say what the factors are.
y = (x + 3)(x - 1)(x - 5) , factors are (x + 3), (x - 1) and (x - 5)
Roots or Zeroes: when you find the factors, you can find a zero for each factor:
each factor = 0
x = a , a is a zero
(x + 3)(x - 1)(x - 5) = 0
x + 3 = 0, x = -3
x - 1 = 0, x = 1
x - 5 = 0, x = 5
