Polynomial Basics Review Lesson Slides: 5 Slides (9th Grade)

5 Slides • 12 Questions

1

Polynomial Basics Review

2

What's a Polynomial?

3

Multiple Choice

Classify the following expression:
$-7x$

1

polynomial

2

binomial

3

trinomial

4

monomial

4

Multiple Choice

Classify the following:

2x^4-18x^3+41x^2-41x+90

1

monomial

2

binomial

3

trinomial

4

polynomial

5

Multiple Choice

Classify the following expression:

-6x^3+7

(Select all that apply)

1

monomial

2

binomial

3

trinomial

4

polynomial

6

Multiple Choice

Classify the following expression:

3x^2-7x-1

1

binomial

2

trinomial

3

polynomial

4

polynomial

7

Degree of Polynomials

To find this:

1. Add all of the exponents for each term to find the degree of that term.

2. The highest degree is the degree.

8

Example:

9

Multiple Choice

1) Degree of 2x+5 is ____________

1

2

1

3

5

4

10

Multiple Choice

2) Degree of

2x^2+50

is _____

1

50

2

3

4

1

11

Multiple Choice

4) Degree of

xy+x^2y-xy-z+xyz

is __________

1

2

3

4

12

Multiple Choice

3) Degree of

5a^4+7a^2-3a^9+10

is ____

1

2

4

3

9

4

10

13

Adding Polynomials

1. Start in alphabetical order and with the highest degree

2. Combine like terms

3. Watch signs (negatives and positives)

14

Multiple Choice

Add:
$\left(x^4+2\right)+\left(x^4+7\right)$

1

$2x^4+9$

2

$2x^8+9$

3

$x^8+9x^4+14$

15

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

1

-4x +6y + 6z

2

4x + y + 6z

3

-4x - y + 6z

4

-4x + y + 6z

5

None of these

16

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

1

11a³ - 4a² - 14a - 7

2

5a³ - 4a² - 14a - 7

3

5a³ - 4a² - 20a - 7

4

5a³ - 9a² - 20a - 7

17

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

1

2x³-6x²-9x

2

2x³+6x²+9x

3

-2x³-6x²+9x

4

2x³-6x²+9x

Polynomial Basics Review

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