# Algebra 2

posted by .

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 -

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 -

So the answer would be x^2+2x-6 for #1?

• Algebra 2 -

x(x+2)(x-3) =

x (x^2 - x - 6) =

x^3 - x^2 - 6 x

• Algebra 2 -

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 -

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 -

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 -

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 -

3/x^2 = 3 x^-2

• Algebra 2 -

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

## Similar Questions

1. ### Algebra 2

The Question(s):: Write the polynomial 2-2x+5x^2-2x^5 in standard form. a.) What is its degree?
2. ### algebra

Write the expression in standard form. Then identify the polynomial by its degree and number of terms. (2x4 + 3x – 4) + (-3x + 4 + x4)
3. ### Algebra II

write a fourth degree polynomial function a leading coefficient o 1 given three of its zeros are -1, 3 and 2i, then re-write it in simplified form.
4. ### college algebra

1.write the formula for the function that has degree 3 and zeros of -1,2 and 5 with a lead coefficient of 1?
5. ### pre cal

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help
6. ### Algebra

Write a polynomial of least degree with real coefficients and with the root -6-8i. Write your answer using the variable x and in standard form with a leading coefficient of 1. Thanks, I have no idea!