Pure Math 20: Polynomial Equations
___ 1.
I understand that a linear equation is of degree one and will always have one
solution
___ 2.
I understand that a quadratic equation is of degree 2 and will have a maximum of 2
solutions
___ 3.
I understand that a quadratic function will contain x and y variables but a quadratic
equation will only contain x
___ 4.
I understand that a nth degree polynomial will have a maximum of n solutions
___ 5.
I understand that most polynomial equations can be solved by making the equation
equal zero then factoring into linear factors
___ 6.
I understand that there are many methods to factoring quadratics
___ 7.
I understand that factoring degree 3 or higher polynomials involves the “rational
zero theorem”
___ 8.
I understand the difference between “factored form” and the “solutions to an
equation”
___ 9.
I understand that if something divides out evenly (remainder of zero) then it is a
factor of the larger item
___ 10. I understand that solutions for a polynomial equations can be verified by
substituting them into the equation
___ 11. I can solve a quadratic by making it zero equals and factoring
___ 12. I can solve a quadratic by making it zero equals and using the quadratic formula
___ 13. I can solve a quadratic by making it zero equals and using technology
___ 14. I can solve a quadratic by making it zero equals to find the “zeros”
___ 15. I can divide a polynomial by a polynomial to find a quotient and remainder
___ 16. I can recognize when a divisor is a factor by performing polynomial long division
___ 17. I can use the remainder theorem as a short cut to long division
___ 18. I can recognize when a divisor is a factor by using the remainder theorem
___ 19. I can work backwards to find the factor when given a remainder and using the
remainder theorem
___ 20. I can identify possible rational zeros for an nth degree polynomial
___ 21. I can factor an nth degree polynomial using the “rational zero theorem”
___ 22. I can determine the solutions of a polynomial equation given factored form
___ 23. I can determine the solutions of a polynomial equation by factoring to find factored
form