6.1: Polynomials Introduction Review

6.1: Polynomial Basics Review

Multiple Choice

Classify this polynomial by its degree and number of terms: x² + 2x + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic trinomial

Multiple Choice

Classify this polynomial by its degree and number of terms: 4x³

• Cubic monomial

• Linear binomial

• Cubic binomial

• 6th degree (sextic) monomial

Multiple Choice

Classify this polynomial by its degree and number of terms: x² + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic binomial

Multiple Choice

How many terms are in the expression

5y - 3rx + 7

• 1

• 2

• 3

• 4

Multiple Choice

Which pair is an example of like terms?

• 2a and 2b
• x and x²
• 3k and 3k³
• y² and 2y²

Multiple Choice

What is the value of the constant?

2x² + 4x − 5

• 2

• 4

• 5

• −5

Multiple Choice

What is the degree of the polynomial?

 $-3x^4+5x^3+7$  

•  $3$  

•  $7$  

•  $4$  

Multiple Choice

Which expression represents a cubic binomial?

• $x^3+7x$

• $8x^2-6x+4$

• $2x^3y^4$

Multiple Choice

Which polynomial expression is written in standard form?

• $4x^4-16x^2+12-5x$

• $-6x^2+3x^3+x^5$

• $7x^5+4x^3-2x^2+18$

Multiple Choice

Rearrange the polynomial so it is in standard form.

12 - 3x³ - 10x - x²

• - 3x³ - x² - 10x + 12

• 3x³ - x² + 10x + 12

• It's already in standard form.

• 12 - 10x - 3x³ - x²

Multiple Choice

Add these polynomials:

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

Multiple Choice

Add these polynomials:

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

Multiple Choice

Subtract these polynomials:

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

Multiple Choice

Subtract these polynomials:

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Multiple Choice

Combine like terms in this polynomial:

3x² - x + 2 - 5x² + 8x - 5

• 8x² + 9x + 7

• -2x² + 7x - 3

• 2x² + 7x - 3

• 5x² - 3