Polynomial Basics

Polynomials

Use this activity to brush up on some terminology

Multiple Choice

How many terms are in the expression below?

3x + 8y

• 1

• 2

• 3

• 8

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

• 5
• 3
• -2
• 1

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

x² can be combined with 2x²

• True

• False

Multiple Choice

Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

Simplify the Expression:

3a + 7 - 2a

• 8a

• 12a

• a + 7

• 5a + 7

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the expression:

3x² - x + 7 + 5x + 2 - 2x²

• x² + 4x + 9

• 5x² + 9

• 15

• 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