Topic1: Polynomials

Presentation

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Mathematics

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9th Grade

•

Medium

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CCSS

6.NS.B.3, HSA.APR.A.1, HSA.APR.C.4

Standards-aligned

Poonam Alam

Used 3+ times

FREE Resource

12 Slides • 28 Questions

Topic 1: Polynomials

Classifying Polynomials

Terms and Coefficients

Degree of a Polynomials & Constants

Standard Form of a Polynomial

Multiple Choice

What is a polynomial?

one or more terms (separated by addition or subtraction) whose variables have whole number exponents

one or more terms (separated by multiplication or division) whose variables have whole number exponents

one or more terms (separated by addition or subtraction) whose variables have integer number exponents

one or more terms (separated by multiplication or division) whose variables have integer number exponents

Fill in the Blanks

Type answer...

Fill in the Blanks

Multiple Choice

Which of the following is a trinomial

$5x^2+12$

$3a^2b+8$

$9pqr$

$5x^2-3x+17$

Multiple Select

Which of the following polynomials are in "standard form" or the correct order.

(Choose three)

$3x^8+2x^5-9$

$10+8p^2-6p$

$4a^2-14$

$5y^8+5x^7+5x^6$

$144-x^2$

Fill in the Blanks

Multiple Choice

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

-2x⁵ + 3x - 1

5x^-2 +3x - 1

-2x⁵ + 3x⁴ + 2x³ + x² - 10

2x + 5

Multiple Choice

What is the leading coefficient in the polynomial 3x²-2x+5?

Multiple Choice

What is the leading coefficient?
f(x)=5x²+3x³-2x+1

-2

Multiple Choice

Classify by the DEGREE:
2x² - 5

Degree of 1

Degree of 2

Degree of 3

Degree of 4

Like Terms: share the same variable with the same exponents.

Example 1:

Example 2:

Multiple Choice

Combine like terms to simplify:

(5x + 2) + (4x - 5)

9x -3

-9x-7

9x+7

x+7

Multiple Choice

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

11a³ - 4a² - 14a - 7

5a³ - 4a² - 14a - 7

5a³ - 4a² - 20a - 7

5a³ - 9a² - 20a - 7

Multiple Choice

Add or Subtract to Simplify:

(4x²+ x) - (x²+ 2x)

3x²- x

4x²+ 2x

3x² + 3x

3x² + 2x

Multiple Choice

Add or Subtract to Simplify:

(5x + x² - 4) - (4x - x² + 6)

2x² + x + 2

x + 2

2x² + x - 10

x - 10

Multiple Choice

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

-2x³-3x²+7

-2x³+x²+1

2x³-3x³-1

4x³-3x²+7

Multiplying Bionomials

TAKE NOTES: Please get paper for next problems

Learning Intention: We will learn how to multiply binomials

Learning Criteria: We can use the Box method to multiply:
(x +3) (x +4)

Multiple Choice

Write the expanded (general) form of the product (x+3)(x+6).

x²+18x+9

x²+9x+18

x²+18x+18

Multiple Choice

Find the product:
(y - 3)(y + 7)

y² - 21

y² + 10x - 21

y² + 4y - 21

2y - 10

Multiple Choice

Simplify
(p − 8)²
Hint: (p − 8)² = (p − 8)(p − 8)

p ² − 16p − 64

p ² + 16p + 64

p ² − 16p − 8

p ² − 16p + 64

Multiple Choice

Expand and simplify:

(x + 5)²

x² + 25

x² + 10x + 25

x² + 10 x + 10

x² + 10

Multiple Choice

What is the product of (r + 7) and (r − 7) ?

r ²− 49

r ²+ 14

r ² − 7r + 49

Multiple Choice

The length of a rectangle is x + 2 units and the width is 3x + 7

units. Find the area.

(Hint: area = length x width)

3x² + 9x + 14 square units

3x² + 13x + 14 square units

4x + 9 square units

8x + 18 square units

Multiple Choice

Find the product of :
(3x – 1)(x + 5)

3x² + 4x + 5

3x² + 4x - 5

3x² + 14x + 5

3x² + 14x - 5

Multiple Choice

What is the product of (3p - 3) and (p - 1) when written in standard form?

3p² + 6p + 3

3p² - 6p + 3

3p² - 6p - 3

3p² + 6p - 3

Multiple Choice

What is the product of (2x + 3) and (2x - 3) when written in standard form?

4x² - 9

4x² + 9

4x²- 12x - 9

4x² + 12x - 9

Poll

What do you need more help with?

(You can choose more than one)

I mastered it all!

Classifying Polynomials (terms, degree, leading coefficient, standard form)

Adding and subtracting Polynomials

Multiplying Binomials

Topic 1: Polynomials

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