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.