For questions 6 - 8, write each polynomial in standard form. Name each polynomial according to its degree and the number of terms. state all the following information for each function: degree, leading coefficient, and constant term.

6. M(x)=x+x^2-1 (2 points)

Standard form:

Polynomial name:

Degree:

Leading coefficient:

Constant term:

7. d(x)=x+pi

Standard form:

Polynomial name:

Degree:

Leading coefficient:

Constant term:

8. w(x)=2-6x^2+11x^3

Standard form:

Polynomial name:

Degree:

Leading coefficient:

Constant term:

For questions 9 - 10, evaluate the function at the indicated value, using the technique indicated.

9. Find w(-3) using synthetic substitution: (2 points)

w(x)=11x^3-6x^2+2

10. Find m(5) using direct substitution: (2 points)

m(x)=x+x^2-1

For questions 11 - 12, divide. Use synthetic division, if possible.

11. (x^4+6x^3-x^2-5x+1) / (x-2)

12. (x^3+9x^2-5x+11)/ (x^2+2)

For question 13, list the possible zeros for the polynomial.

13. h(x)=2x^3+5x^2-31x-15