simplifying polynomials l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Simplifying Polynomials PowerPoint Presentation
Download Presentation
Simplifying Polynomials

Loading in 2 Seconds...

play fullscreen
1 / 20

Simplifying Polynomials - PowerPoint PPT Presentation


  • 90 Views
  • Uploaded on

Simplifying Polynomials. 13-2. Warm Up. x. 1. 2. 2. Identify the coefficient of each monomial. 1. 3 x 4 2. ab 3. 4. – cb 3 Use the Distributive Property to simplify each expression. 5. 9(6 + 7) 6. 4(10 – 2). 3. 1. –1. 32. 117. Learn to simplify polynomials .

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Simplifying Polynomials' - lanai


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
warm up
Warm Up

x

1

2

2

Identify the coefficient of each monomial.

1.3x42.ab

3.4. –cb3

Use the Distributive Property to simplify each expression.

5. 9(6 + 7) 6. 4(10 – 2)

3

1

–1

32

117

examples identifying like terms
Examples: Identifying Like Terms

3

2

2

3

5x + y + 2 – 6y + 4x

Like terms: 5x3 and 4x3, y2 and –6y2

Like terms: 3a3b2, 2a3b2, and –a3b2

3

2

3

2

2

3

2

3

3a b + 3a b + 2a b – a b

Identify like terms.

Identify like terms.

Identify the like terms in each polynomial.

A. 5x3 + y2 + 2 – 6y2 + 4x3

B. 3a3b2 + 3a2b3 + 2a3b2 - a3b2

example identifying like terms
Example: Identifying Like Terms

7p3q2 + 7p2q3 + 7pq2

There are no like terms.

Identify like terms.

Identify the like terms in the polynomial.

C. 7p3q2 + 7p2q3 + 7pq2

try this
Try This

4

2

2

4

4y + y + 2 – 8y + 2y

Like terms: 4y4 and 2y4, y2 and –8y2

7n4r2 + 3a2b3 + 5n4r2 + n4r2

Identify like terms.

Identify like terms.

Identify the like terms in each polynomial.

A. 4y4 + y2 + 2 – 8y2 + 2y4

B. 7n4r2 + 3a2b3 + 5n4r2 + n4r2

Like terms: 7n4r2, 5n4r2, and n4r2

try this7
Try This

There are no like terms.

Identify the like terms.

Identify the like terms in the polynomial.

C. 9m3n2 + 7m2n3 + pq2

9m3n2 + 7m2n3 + pq2

slide8

To simplify a polynomial, combine like terms. It may be easier to arrange the terms in descending order (highest degree to lowest degree) before combining like terms.

example simplifying polynomials by combining like terms
Example: Simplifying Polynomials by Combining Like Terms

4x2 + 2x2– 6x + 7 + 9

2

6x – 6x + 16

Identify like terms.

Combine coefficients: 4 + 2 = 6 and 7 + 9 = 16

Arrange in descending order.

Simplify.

A. 4x2 + 2x2 + 7 – 6x + 9

4x2 + 2x2 – 6x + 7 + 9

example simplifying polynomials by combining like terms10
Example: Simplifying Polynomials by Combining Like Terms

3n5m4+ n5m4 –6n3m – 8n3m

3n5m4+ n5m4 –6n3m – 8n3m

4n5m4–14n3m

Arrange in descending order.

Identify like terms.

Combine coefficients:

3 + 1 = 4 and –6 – 8 = – 14.

Simplify.

B. 3n5m4–6n3m + n5m4 – 8n3m

try this11
Try This

Identify the like terms.

Combine coefficients: 2 + 5 = 7 and 6 + 9 = 15

Arrange in descending order.

Simplify.

A. 2x3+ 5x3 + 6 – 4x + 9

2x3+ 5x3 – 4x + 6 + 9

2x3+ 5x3 – 4x + 6 + 9

7x3– 4x + 15

try this12
Try This

Arrange in descending order.

Identify like terms.

Combine coefficients:

2 + 1 = 3 and –7 + –9 = –16

Simplify.

B. 2n5p4–7n6p + n5p4 – 9n6p

2n5p4+ n5p4 –7n6p – 9n6p

2n5p4+ n5p4 –7n6p – 9n6p

3n5p4–16n6p

example simplifying polynomials by using the distributive property
Example: Simplifying Polynomials by Using the Distributive Property

2

3

3(x + 5x )

2

3

3 x + 3  5x

2

3

3x + 15x

Distributive Property

Simplify.

A. 3(x3 + 5x2)

example simplifying polynomials by using the distributive property15
Example: Simplifying Polynomials by Using the Distributive Property

–4(3m3n + 7m2n) + m2n

–4  3m3n – 4  7m2n + m2n

–12m3n – 28m2n + m2n

–12m3n – 27m2n

Distributive Property

Combine like terms.

Simplify.

B. –4(3m3n + 7m2n) + m2n

try this16
Try This

2(x3+ 5x2)

2  x3 + 2  5x2

2x3 + 10x2

Distributive Property

Simplify.

A. 2(x3 + 5x2)

try this17
Try This

–2(6m3p + 8m2p) + m2p

–2  6m3p – 2  8m2p + m2p

–12m3p – 16m2p + m2p

–12m3p – 15m2p

Distributive Property

Combine like terms.

Simplify.

B. –2(6m3p + 8m2p) + m2p

example business application
Example: Business Application

2

2

2(r + rh) =

2r + 2rh

The surface area of a right cylinder can be found by using the expression 2(r2 + rh), where r is the radius and h is the height. Use the Distributive Property to write an equivalent expression.

try this19
Try This

2

2

3a(b + c) =

3ab + 3ac

Use the Distributive Property to write an equivalent expression for 3a(b2+ c).

lesson quiz
Lesson Quiz

2

2

2x and 5x , z and –3z

2ab2 and –5ab2, 4a2b and a2b

15x2 + 10

6k2 + 8k + 8

12mn2 + 9n

3h3–5h2 + 8h – 9

Identify the like terms in each polynomial.

1. 2x2 – 3z + 5x2 + z + 8z2

2. 2ab2 + 4a2b – 5ab2 – 4 + a2b

Simplify.

3. 5(3x2 + 2)

4. –2k2 + 10 + 8k2 + 8k – 2

5. 3(2mn2 + 3n) + 6mn2

6. 4h2 + 3h3 – 7 – 9h2 + 8h – 2