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Algebra 2 Lesson 5.4. Check: Factoring packet. Warm-up. Warm-up 5.4 & Daily HW Quiz. Objective. Factor and solve polynomial equations. Algebra 2. Notes 5.4 More Factoring. Example: Factor 3x 2 + 13x + 4 We will make a T to determine the coefficients of the factors.

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Presentation Transcript
slide1

Algebra 2

Lesson 5.4

Check: Factoring packet

warm up
Warm-up

Warm-up 5.4

&

Daily HW Quiz

objective
Objective

Factor and solve polynomial equations.

algebra 2
Algebra 2

Notes 5.4

More Factoring

how do you factor a trinomial whose leading coefficient is not 1

Example: Factor 3x2 + 13x + 4

We will make a T to determine the coefficients of the factors...

Write factors of

the first term in

this column.

Write factors of

the last term in

this column.

How do you factor a trinomial whose leading coefficient is not 1?

( )

3

1

2

2

3

1

1

4

These are the

coefficients of

the factors...

( )

(3x + 1)(x + 4)

2 + 6

≠13

1 + 12

= 13

Multiple diagonally and add.

See if the sum matches the

middle term...

…if not, try another

combination of factors...

example factor 6d 2 33d 63

Example: Factor 6d2 + 33d – 63

2

–3

Remember, look for the GCF first...

GCF: 3

3(2d2 + 11d – 21)

Now, factor the trinomial (using a T)

1

7

–3 + 14

= 11

3(2d – 3)(d + 7)

ex 1 factor the polynomial completely
Ex 1 Factor the polynomial completely

a) y3-4y2-12y

b) 3x3+30x2+75x

c) 5g5-80g3

ex1 d factor a 2 4ab 9x 2 4b 2

a2+ 4ab + 4b2– 9x2

(a + 2b)2– 9x2

Now, this is the difference of 2 squares

(a + 2b + 3x)(a + 2b – 3x)

EX1 (d)Factor a2 + 4ab – 9x2 + 4b2

This has a perfect square trinomial hidden in it.

ex 2 factoring sum or difference of cubes
EX 2 Factoring Sum or Difference of Cubes

Sum Formula: a3+b3=(a+b)(a2-ab+b2)

  • x3+8
classwork
Classwork

P. 354 # 1-7

classwork1
Classwork

P. 355 # 8-10

homework
Homework

p. 357 #11-37 odd, 51 (15 pts)

closure
Closure

x2 + 6x – 25y2 + 9

HINT: This has a perfect square trinomial hidden in it.

(x+3-5y)(x+3+5y)