QUADRATIC FUNCTIONS AND
EQUATIONS
Ch.4.4 Day 2
Factoring Quadratic
Expressions
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
BELL WORK
QUIZ PG. 221, 14-30 ALL
Read over page 219-220 in your textbook. Copy down the table on
your bell sheet and fill it in with notes.
Perfect Square Trinomial Difference of two squares
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
REVIEW
Factor the expression
X2 + 4x + 4
“Factoring out”
4x4 + 6x7 + 8x2 + 2x8 + 12x5
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FINDING COMMON FACTORS
What is the expression in factored form?
4x2 + 20x - 56
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FINDING COMMON FACTORS
What is the expression in factored
form?
9x2 +9x – 18
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING QUADRATIC EXPRESSIONS
Now you try…
What is the expression in factored form?
1. 7n2 – 212.
4x2 + 8x + 12
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING AX2 + BX + C WHEN A DOES
NOT EQUAL 1
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING AX2 + BX + C WHEN A DOES
NOT EQUAL 1
What is the expression in factored
form?
4x2 – 4x - 3
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING AX2 + BX + C WHEN A DOES
NOT EQUAL 1
What is the expression in factored
form?
4x2 + 7x + 3
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING AX 2 + BX + C WHEN A DOES NOT
EQUAL 1
Now you try…
What is the expression in factored form?
2x2 – 7x + 6
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING AX2 + BX + C WHEN A DOES
NOT EQUAL 1
2m2 – 11m + 15
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
KEY CONCEPT
A perfect square trinomial is a trinomial that is
the square of a binomial. For example, x2 +
10x + 25 is a perfect square trinomial because
it is the square of the binomial (x + 5)2
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A PERFECT SQUARE
TRINOMIAL
What is 4x – 24x + 36 in factored
form?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A PERFECT SQUARE
Factor: t2 – 14x + 49
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A PERFECT SQUARE
Now you try…
64x2 – 16x + 1
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
KEY CONCEPT
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A DIFFERENCE OF TWO
SQUARES
What is 25x2 – 49 in factored form?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A DIFFERENCE OF TWO
SQUARES
What is x2 – 4 in factored form?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A DIFFERENCE OF TWO
SQUARES
What is 81x2 - 49 in factored form?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
FACTORING A DIFFERENCE OF TWO SQUARES
Now you try…
What is 16x2 – 81 in factored form?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.
CLOSURE
(On your bell sheet)
Short answer response: What is the
purpose of factoring quadratic
expressions?
EQ: HOW CAN I FACTOR QUADRATIC EQUATIONS? I WILL FACTOR QUADRATIC EQUATIONS.