Operations with Polys Study Guide

Operations with Polys Study Guide

​*Classify

*Add/Subtract

*Multiply

*Area of Shaded Region

Classify Polynomials

​Each Polynomial has 2 names based on:

DEGREE (highest exponent)

NUMBER OF TERMS

Multiple Choice

Give the correct name for 
2x³+5x

• Linear Binomial

• Cubic Binomial

• Quadratic Trinomial

• Linear Trinomial

Multiple Choice

Give the correct name for 
3x²+4x-7

• Quadratic trinomial

• linear binomial

• Quartic trinomail

• Linear Trinomail

Multiple Choice

Give the correct name for

3x

• Cubic Monomial

• Linear Binomial

• Linear Monomial

• Cubic Binomial

Multiple Choice

• Monomial

• Binomial

• Trinomial

Multiple Choice

Classify

• Monomial

• Binomial

• Trinomial

Add and Subtract Polynomials

​ADDITION: combine like terms

SUBTRACTION: distribute negative sign and combine like terms

DO NOT ADD EXPONENTS!!

Multiple Choice

Find the sum.
(5x² -3x + 4) + (6x -3x² - 3)

• 3x² + 2x + 1

• 2x² + 3x +1

• 2x² + 5x - 7

• 3x² + 4x⁵ -7x

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Multiple Choice

Simplify the following expression
(r² + s²) – (5r² + 4s²)

• –4r² +5s²
• –4r² – 3s²
• –5r⁴ – 4s⁴
• –4r² + 3s²

Multiple Choice

Solve the following problem.
(13x + 30) - (20x + 6)

• -7x + 24
• -33x - 42
• 133x + 36
• 260x + 180

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

Simplify the expression:
( - 8v⁴ + 4v³ + 3v)
+ (- 8v⁴ + 4v - 7)

• -17v⁴ + 4v³ + 2v - 7
• -16v⁴ + 4v³ + 10v - 7
• -16v⁴ + 4v³ + 7v - 7
• -16v⁴ + 4v³ + 2v - 7

Multiply Polynomials

​Distribute each term from the first parenthesis to each term of the second parenthesis and then Combine Like Terms

*IN MULTIPLICATION, ADD EXPONENTS!

Multiple Choice

(x-3)(x²+2x+7)

• x³-x²+x-21

• x³+5x+13x-21

• x³-3x²+7x-21

• x²+2x-3

Multiple Choice

(2x − 3)(2x + 3)

• 4x² − 12x + 9
• 4x² − 9
• 4x² + 9
• 4x² + 6x − 9

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

Find the product. 
4a(5a² - a + 4)

• 20a³ - 4a² + 16a
• 20a² - 5a + 8a
• 20a² + 4a² + 16a
• 20a³ +3a² + 16a

Multiple Choice

Find the product.

(x + 7)²

• x² + 7x + 49

• x² + 7x + 7

• x² + 49

• x² + 14x + 49

Multiple Choice

(x+10)(x-10)

• x²  - 100
• x² + 100
• x² + 20x - 100
• x² -20x + 100

Multiple Choice

(x − 3)(6x − 2)

• 6x² − 20x + 6
• 6x² + 20x - 6
• 6x² +6
• 6x + 6

Multiple Choice

(2n + 2)(6n + 1)

• 12n + 2
• 12n² + 2
• 12n² + 12n + 2
• 12n² + 14n + 2

Multiple Choice

6v(2v + 3)

• 12v+18

• 15v² + 8v

• 12v² + 18v

• 12v² + 18v²

Area of Shaded Region

​Find the area of the larger shape and SUBTRACT the area of the smaller shape

Multiple Choice

Find a simplified expression for the area of the shaded region.

• 2x² + 2x + 13

• 10x + 5

• 10x + 13

• 2x² + 13

Multiple Choice

Find the area of the shaded region:

• 66x³ + 12x²

• 80x² - 24x

• 66x³ + 40x² + 24x

• 66x³ + 92x² -24x

Multiple Choice

Find the area of the shaded region.

• 4x² + 2x

• x² + x

• 3x² + x

• 5x² + 3x