Question

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

Answer 1

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.

Answer 2

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

Answer 3

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.

Answer 4

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

x (x^2 - x - 6) =

x^3 - x^2 - 6 x

Answer 5

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?

Answer 6

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)

Answer 7

What do you mean negative powers of x? The expression is 3 over x squared. But it isn't a polynomial expression right?

Answer 8

3/x^2 = 3 x^-2

Answer 9

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