Polynomial Basics

Presentation

•

Mathematics

•

8th - 12th Grade

•

Medium

•

CCSS

7.EE.A.1, 6.EE.A.2B, 6.EE.A.3

Standards-aligned

Cheryle Earl

Used 21+ times

FREE Resource

8 Slides • 24 Questions

Polynomials

Use this activity to brush up on some terminology

Multiple Choice

How many terms are in the expression below?

3x + 8y

Multiple Choice

A polynomial with ONE term is called a

monomial

binomial

trinomial

none of the above

Multiple Choice

A polynomial with TWO terms is called a

monomial

binomial

trinomial

none of the above

Multiple Choice

A polynomial with THREE terms is called a

monomial

binomial

trinomial

none of the above

Standard Form

Degree of a polynomial

Leading coefficient

RECAP

This polynomial is in standard form
It has a degree of 3
The leading coefficient is 4

Multiple Choice

The following polynomial is written in standard form:

7x³ - 11x² + 8x - 5

True

False

Multiple Choice

Which polynomial is written in standard form?

8x - 11x²

4x³ + 7x - 9

12 + 4x

13x + 7x² - 9x³ + 12

Multiple Choice

Which polynomial is written in standard form?

-3x + 8x² + 9x³ - 11

9x³ + 8x²- 3x - 11

8x²+ 9x³ -11 - 3x

-11 - 3x + 8x² + 9x³

Multiple Choice

Classify by the DEGREE:
3x - 2

Degree of 1

Degree of 2

Degree of 3

Degree of 4

Multiple Choice

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

Degree of 1

Degree of 2

Degree of 3

Degree of 4

Multiple Choice

What is the Degree of the Polynomial?

5x³ - 6x + 1

Linear

Quadratic

Cubic

Quartic

Multiple Choice

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

Boss coefficient

Leading coefficient

Best coefficient

Greatest common coefficient

Multiple Choice

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

-2

Multiple Choice

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

-2x⁵ + 3x - 1

5x^-2 +3x - 1

-2x⁴ + 2x³ + x² - 10

2x + 5

Like Terms

Multiple Choice

A coefficient is __________.

the variable

a constant

an exponent

the number that comes before the variable

Multiple Choice

Like terms have the same _____ and the same _____.

variables and numbers

signs and numbers

variables and exponents

variables and signs

Multiple Choice

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

7, 24y

3x, 9x

3x, -9x

3x, -9x, 2x²

Now practice combining like terms

Pay close attention to the signs of the coefficients

Multiple Choice

x²can be combined with 2x²

True

False

Multiple Choice

Simplify the expression: 3x + 2x

Multiple Choice

Simplify the Expression:

3a + 7 - 2a

12a

a + 7

5a + 7

Multiple Choice

Simplify the expression: 2x + 1 + 7x

10x

9x + 1

9 + 1x

Multiple Choice

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

x²+ 4x + 9

5x²+ 9

15x

Multiple Choice

Simplify the Expression:

7x²- 3a +20 - 4x² + 2a

11x²- a + 20

3x²- a + 20

2a + 20

3x²- a

Multiple Choice

5x + 3y + 5 + 4x + 3y + y + 8

9x + 7y + 13

6x + 2y + 2

25x + 2y + 3

x + 7y + 12

Multiple Choice

Combine like terms
3x + 2x + 3y - 7y

5x + 10y

5x + 4y

5x - 4y

5x -10y

Polynomials

Use this activity to brush up on some terminology

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