Question

What is a polynomial function in standard form with zeros: 1, 2, -3, and -1?
g(x) = x^4 + x^3 -7x^2 - x + 6
g(x) = x^4 + x^3 + 7x^2 - x + 6
g(x) = x^4 + x^3 - 7x^2 - x - 6
g(x) = x^4 - x^3 - 7x^2 - x + 6

Answer 1

You have 4 zeros given: 1, 2, -3, -1.
Corresponding to each zero, you have a factor: (x-1), (x-2), (x+3) and (x+1).

Multiply out these four factors. Combine terms wherever possible. Arrange your terms in descending order by power of x. You should have 5 terms.

Answer 2

Wait, how do I do that? I'm new to this and don't know how to work the problem

Answer 3

@mathmale

Answer 4

If y ou're now working on polynomial functions, you have already learned multiplication and multiplication of binomials. You could use the so-called "FOIL" method to multiply out (x+1)(x+2). Do it on paper if you wish, or type your work directly into your response here. (x+1)(x+2)=?