Test Tomorrow!

Study! Tomorrow we have our test on 2.1 to 2.3!  There are no graphing calculators allowed on the test and it is entirely open ended.

Here's a list of topics--this is exactly what's on the test! (with some thoughts about how to do each problem in parentheses):

• (Section 2.1) Write a quadratic in standard form given the equation in vertex form ("foil" or "box method," then distribute and combine like terms)
• (Section 2.1) Given a quadratic in standard form...
• Find the vertex (find the x coordinate with "-b/2a," then substitute this x-value to find y)
• Find the x-intercepts (set the equation =0, then factor or use the quadratic formula)
• Find the y-intercept (substitute 0 for x)
• Graph the quadratic (plot the points found above, then sketch a parabola)
• Write the equation in vertex form ( a(x-h)^2 + k)
• Write the equation in intercept form ((x-a)(x-b), where a,b are the x-intercepts you found)
• (Section 2.3) Divide polynomials using long division 
• (Section 2.2) Identify the degree and/or leading coefficient of a polynomial
• (Section 2.2) Describe the end behavior of a polynomial
• (Section 2.3) Divide using synthetic division
• (Section 2.3) Determine if a given term (for example, (x-5)) is a factor of a polynomial (divide, then check the remainder--if the remainder is 0, the term is a factor)
• (Section 2.2) Write the equation of a polynomial given its zeros (write the terms as (x-a)(x-b)(x-c), then multiply; a,b,c represent the x-intercepts given)
• (Section 2.2) Factor to find the x-intercepts of a function, then comment on the multiplicity (determine if the graph crosses (odd multiplicity) or bounces (even multiplicity) at each x-intercept
• (Section 2.3) Use synthetic substitution to evaluate a function (synthetically divide by the # given, and the remainder is the answer)
• (Section 2.2) Sketch the graph of a polynomial by hand
• Determine the end-behavior
• Find the zeros/describe the multiplicity of each (cross or bounce?)
• Find the y-intercept
• Sketch a graph
• (Section 2.3) Completely factor a polynomial given one of its factors (this is like #12 from the powerpoint classwork that was returned today)