Pgs. 259-265
ACT
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For a function that models a relationship between two quantities,
interpret key features of graphs and tables in terms of the
quantities, and sketch graphs showing key features given a verbal
description of the relationship. Key features include: intercepts;
intervals where the function is increasing, decreasing, positive, or
negative; relative maximums and minimums; symmetries; end
behavior; and periodicity.*
•
Write a function defined by an expression in different but equivalent
forms to reveal and explain different properties of the function.
•
Solve quadratic equations in one variable.
– b. Solve quadratic equations by inspection (e.g., for x2 = 49),
taking square roots, completing the square, the quadratic
formula and factoring, as appropriate to the initial form of the
equation. Recognize when the quadratic formula gives complex
solutions and write them as a ± bi for real numbers a and b.
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Factoring: rewriting an expression as the product of its factors.
Greatest Common Factor (GCF) of an Expression: a common factor
of the terms of the expression.
◦ It’s the common factor with the greatest coefficient and the
greatest exponent.
◦ You can factor any expression that has a GCF not equal to 1.
Quadratic Trinomial: an expression in the form ax2 + bx + c.
◦ You can factor many quadratic trinomials into two binomial
factors.
 First find two factors with a product ac and a sum b, then find
common factors.
Factor the Expression:
4x2 + 20x – 12
Factor the expression:
9n2 – 24n
Find common factor of each:
1)
9x2 + 3x – 18
2)
7p2 + 21
3)
4w2 + 2w
Factor 3x2 – 16x + 5
Factor 2x2 + 11x + 12
1) Factor 4x2 + 7x + 3 2) Factor 2x2 – 7x + 6
Factor 4x2 – 4x – 15
Factor 4x2 – 4x – 15
Factor 2x2 + 7x - 9
1) Factor 3x2 – 16x – 12 2)Factor 4x2 + 5x - 6