HPC 1.1/1.2/A.3 Notes Learning Targets: - Use the distance formula - Use the midpoint formula -Transfer algebraic information into graphic information.

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Presentation transcript:

HPC 1.1/1.2/A.3 Notes Learning Targets: - Use the distance formula - Use the midpoint formula -Transfer algebraic information into graphic information -Completely factor polynomials

Do you remember these formulas: Distance and Midpoint? Distance = Midpoint =

Ex 1) Find the distance between (6, 0) & (-3, 2)

Ex 2) Find the midpoint of the line segment joining (-4, -3) & (2, 2).

Ex 3) Find all points have a y-coordinate of -3 whose distance from the point (1, 2) is 13.

Ex 4) Find all points on the x-axis that are 5 units from the point (4, -3).

Ex 5) Given the equation (a) Determine whether (3, 5) is on the graph. (b) If (1, b) is on the graph, what is b?

Ex 5) Given the equation (c) Algebraically determine the x- and y- intercepts. (b) Graph f(x) on your calculator and then determine the intercepts.

Factoring: Sums/Differences of Cubes Difference of 2 cubes: Sum of 2 cubes:

Ex 6) Factor each completely (a)(b) (c)(d)