Download I. Factoring an Expression

Unit 4: Expressions and Equations
Write expressions in
equivalent forms to solve
problems.
A.SSE.3: Algebra – Seeing
Structure in Expressions
Choose and produce an
equivalent form of an
expression to reveal and
explain properties of the
quantity represented by
the expression.
a) Factor a quadratic
expression to reveal
the zeros of the
function it defines.
Ability to connect the
factors, zeros, and xintercepts of a graph
Ability to use the ZeroProduct Property to solve
quadratic equations
Ability to recognize that
quadratics that are perfect
squares produce graphs
which are tangent to the xaxis at the vertex
Find the numbers represented by the
symbols that satisfy the given conditions:
*
= -3
+
= -2
Rules:
Green side is positive,
yellow side is negative.
The big square is x2,
the stick is x, the little
square is 1.
A pair of the same
shape but different
colors will cancel each
other out.
Each team will receive a
pack with these materials.
I will write an expression
on the board and I want
you to form a rectangle
using all the pieces
representing the
expression.
You can only add sticks,
and they should be in
pairs.
Q: What property
should this pair of
sticks have and why?
What expression does this rectangle represent?
x2 + 2x – 15
Find the numbers represented by the
symbols that satisfy the given conditions:
*
= -3
+
= -2
Factor:
1)
x2 – 2x – 3
Factor:
2)
x2 – 6x + 9
Zero Factor Law:
If a*b = 0, then either a = 0 or b = 0.
Solve:
(x + 3)(x – 5) = 0
Solve:
1)
x2 – 2x – 3 = 0
Solve:
2)
x2 – 6x = –9
1) y = x2 – 2x – 3
y
y = x2 – 2x – 3
x
2) f(x) = x2 – 6x + 9
y
f(x) = x2 – 6x + 9
Fill in the blanks:
1) The solutions to a quadratic equation are
the ___________ of the corresponding
quadratic function.
2) The lowest (or highest) point in a parabola
is called a _________.
Teach Me How To Factor
Quad Solve!!!