Posted by **Christian** on Saturday, January 12, 2008 at 8:02pm.

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

- Algebra 2 -
**Count Iblis**, Saturday, January 12, 2008 at 8:03pm
1. Write a polynomial in standard form that has solutions: 0, -2, 3:

x(x+2)(x-3)

Expand this to write it in standard form.

- Algebra 2 -
**Christian**, Saturday, January 12, 2008 at 8:09pm
So the answer would be x^2+2x-6 for #1?

- Algebra 2 -
**Damon**, Saturday, January 12, 2008 at 8:17pm
x^2 + 2 x - 6 is not correct

x(x+2)(x-3) is going to have an x^3 in it for starters

Multiply that all out more carefully.

- Algebra 2 -
**Christian**, Saturday, January 12, 2008 at 8:23pm
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?

- Algebra 2 -
**Damon**, Saturday, January 12, 2008 at 8:29pm
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)

- Algebra 2 -
**Christian**, Saturday, January 12, 2008 at 9:14pm
What do you mean negative powers of x? The expression is 3 over x squared. But it isn't a polynomial expression right?

- Algebra 2 -
**Damon**, Saturday, January 12, 2008 at 9:54pm
3/x^2 = 3 x^-2

- Algebra 2 -
**Christian**, Saturday, January 12, 2008 at 10:25pm
Thanks. For #2 can it be 5x^4+2x^3+7x^2+4x+1? Promise I'm done asking after this!

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