Algebra 2
posted by Christian on .
1. Write a polynomial in standard form that has solutions: 0, 2, 3
2. Write a trinomial that has a degree of 4 and a lead coefficient of 3
3. True of false: 3/x^2 is a polynomial expression

1. Write a polynomial in standard form that has solutions: 0, 2, 3:
x(x+2)(x3)
Expand this to write it in standard form. 
So the answer would be x^2+2x6 for #1?

x(x+2)(x3) =
x (x^2  x  6) =
x^3  x^2  6 x 
x^2 + 2 x  6 is not correct
x(x+2)(x3) is going to have an x^3 in it for starters
Multiply that all out more carefully. 
Ok I see my mistakes on #1. Thanks for the help.On #3 I don't think it is a polynomial but I'm not sure. Can anyone help with #2?

I am sure. Negative powers of x are not allowed in the definition of polynomial.
write an expression with three terms
the first term, with the highest power of x has a coef of 3
That highest power of x is 4
the other two terms can have x^3, x^2, x^1 (which is x) and x^0 (which is one) 
What do you mean negative powers of x? The expression is 3 over x squared. But it isn't a polynomial expression right?

3/x^2 = 3 x^2

Thanks. For #2 can it be 5x^4+2x^3+7x^2+4x+1? Promise I'm done asking after this!