Factoring ax2 + bx + c

Algebra 1

Monday March 12, 2018

How do I get ready for class? 1) On Desk: binder, pens/pencils2) You are tardy if you are not in your seat when the bell rings.

Homework:

Factoring TrinomialsUpcoming……Quiz on Thursday

Warm Up: The area of a rectangle is represented by

A = x2 + 8x – 20 .

a) Find the dimensions of the rectangle.

b) Find the perimeter of the rectangle.

Homework Review

Now Grading: Factoring Trinomials (a=1)

• Please turn in any missing assignments

Standards

MGSE9–12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

MGSE9–12.A.SSE.3a Factor any quadratic expression to reveal the zeros of the function defined by the expression.

What do you already know about

these standards?

Learning Goal • Students will be able to factor a polynomial to solve a

real world problem, using various methods.

Where are you on the Learning Scale?

Scale Rubric # of students

4 I can create a model for a real world problem using quadratic functions andteach a peer.

3 I can factor a polynomial (ax2 + bx + c) to solve a real world problem, using various methods.

2 I can factor polynomials completely by using the GCF and grouping.

1 I can recognize factors and find the GCF or monomials.

Looking for Patterns

(Factoring Trinomials)

Looking for Patterns

Looking for Patterns

Factoring Trinomials

ax2 + bx + c

Factoring Quadratic Trinomials

ax2 + bx + c

1. ALWAYS check to see if you can factor out a GCF. 2. Write the squared term in the top left box. 3. Write the constant in the bottom right box. 4.

Factoring Quadratic Trinomials

ax2 + bx + c

4. The missing diagonal sums to the middle term. 5. The missing diagonal multiplies to the product of the other diagonal. 6. Find the missing diagonal. 7. Determine what was multiplied to form the four boxes. 8. Rewrite with parentheses.

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

14x2 + 12x – 2 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

1) 9x2 – 6x – 15 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

2) 2x2+ 3x – 9 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

3) 3x2 - 8x + 4 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

4) 2x2 + 11x + 5 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

5) 10x2 + 80x + 70 = (____)(____)

Factoring ax2 + bx + c

Factor each quadratic. Check your answer.

6) x2 – 16 = (____)(____)

Factoring ax2 + bx + c

A rectangular painting has an area of

(6x2 + 17x + 5) cm2. Find the dimensions of the painting.

Homework/Classwork

Factoring Trinomials (a>1)

Monday January 25, 2016

How do I get ready for class? 1) On Desk: binder, pens/pencils2) Get ready to grade your homework

Homework: Page 542 #3-8, Page 544 #11-12, Page 547 #19-23

Upcoming……Test on Thursday

Warm Up: The area of a rectangle is 2x2 – 4x – 48. Find the dimensions of the rectangle.

Factoring ax2 + bx + c

Factor each trinomial. Check your answer.

-2x2 – 17x – 21

Factoring

Factor 3x2 + 15x + 12

Factoring

Factor completely.

3x3 – 6x2 + 10x

Factoring x2 + bx + c

What value of b would make x2 + bx + 12 factorable?

a. 12 b. 3

c. 4 d. 7

Factoring x2 + bx + c

What value of b would make x2 + bx – 36 factorable?

a. 6 b. 12

c. 5 d. 18

Factoring

Mrs. Wheaton is putting together a crib for her new baby. Find the dimensions of the base of the crib, if the area of the base is (24x2 + 18x + 3) ft2.

Homework/Classwork

Quiz: Factor completely.

1) n2 + 13n + 36

2) 2x2 -8x – 42

3) 8w (3 – w) + 5(w – 3)

Homework:

• Page 542 #3-8,

• Page 544 #11-12,

• Page 547 #19-23