Algebra 2
posted by Christian .
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
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. 
Algebra 2 
Christian
So the answer would be x^2+2x6 for #1?

Algebra 2 
Count Iblis
x(x+2)(x3) =
x (x^2  x  6) =
x^3  x^2  6 x 
Algebra 2 
Damon
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. 
Algebra 2 
Christian
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
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
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
3/x^2 = 3 x^2

Algebra 2 
Christian
Thanks. For #2 can it be 5x^4+2x^3+7x^2+4x+1? Promise I'm done asking after this!
Respond to this Question
Similar Questions

Algebra 2
The Question(s):: Write the polynomial 22x+5x^22x^5 in standard form. a.) What is its degree? 
algebra
Write the expression in standard form. Then identify the polynomial by its degree and number of terms. (2x4 + 3x – 4) + (3x + 4 + x4) 
Algebra II
write a fourth degree polynomial function a leading coefficient o 1 given three of its zeros are 1, 3 and 2i, then rewrite it in simplified form. 
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? 
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 
Algebra
Write a polynomial of least degree with real coefficients and with the root 68i. Write your answer using the variable x and in standard form with a leading coefficient of 1. Thanks, I have no idea! 
Whats the answer
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 211x^28x+6x^2. A) 5x^28x+2; quadratic trinomial B) 5x^28x; quadratic binomial C) 6x^28x2; cubic polynomial D) 8x+2; … 
algebra
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2 – 11x^2 – 8x + 6x^2 A. –5x^2 – 8x + 2; quadratic trinomial B. –5x^2 – 8x; quadratic binomial … 
Algebra
What type of polynomial is this? 2  5x^3 + 6x A)not a polynomial B)cubic trinomial C)quadric trinomial D)fourthdegree trinomial Since the degree is 4, I think the answer is D. Is this correct? 
Math Help TIMED!
write the polynomial in standard form then name the polynomial based on its degree and number of terms 10 g  7 g^3 + 2g^2  5 a. 7g^3 + 2g^2 + 10g  5 cubic polynomial b. 5 + 10g + 2g^2  7g^3 cubic binomial c. 7g^3  2g^2 + 10g …