Things to know for the test:
How to do long division (don't forget placeholders, including in the divisor)
How to do synthetic division (of course...)
But, also, how to do synthetic division when the root is a complex number.
How to complete the square (easy)
How to complete the square (more difficult)
How to complete the square for y=ax^2+bx+c, then solve for the roots to derive the quadratic formula will be a separate 20 point quiz on Wednesday Nov 7
How to find all the possible rational roots, and the total number of roots for a polynomial (including repeating roots, complex roots, rational and irrational roots.)
How to find all the roots given a factorable trinomial such as
y = x4 + 6x2 - 7 = (x2+7)(x2-1) (you can finish from here...)
Click here to open a word document with last year's exam.