MECA Polynomials Review

Anything Goes

100

What is twice the product of (-7w³mn²)(3wm²n³)

-42w⁴m³n⁵

200

What is the product of 

(x + 6)²

x² + 12x + 36

300

What is the sum?

3(4n² + 2n - 9) + (-16n² + 7n + 3)

-4n² + 13n - 24

400

What is the product of 

(-5x + 3)(4x - 2)

-20x² + 22x - 6 

500

What is the product of (x + 2)² subtracted from (3x² + 5x - 7)? 

2x² + x - 11

Adding Polynomials

100

What is the sum of 

(64m³ + 30m) and (21m³ - 10)?

85m³ + 30m - 10

200

What is the sum of

x(x + 3) and (x2 + 4)?

2x² + 3x + 4

300

(-12xy² + 16x - 20y) + (-8xy² - 9x + 6y)

-20xy² + 7x - 14y

400

(13 + a²b²c² - abc + 20) + (a²b²c² - 17 - abc - 16)

2a²b²c² - 2abc 

500

(x + 3)² + 

(x + 5)² = 

2x² + 16x + 34 

Subtracting Polynomials

100

What is (15w² + 10) subtracted from (18w² - 11)?

3w² - 21

200

What is the result of 

(-28n² + 21n - 11) - (-14n² + 7n - 8) ?

-14n² + 14n - 3

300

What is 2(x³ - 6x² + 5x) subtracted from (8x³ - 4x² + 9x) ? 

6x³ + 8x² - 1x 

400

What is thrice the result of 

(-13x² - 8x + 11) - (12x² - 10x - 4)

-75x² + 6x + 45

500

What is (2x + 4)² subtracted from (4x + 6)² ?

12x² + 32x + 20

Multiplying Monomials

100

What is the product?

(2.4x³y⁵)(6.3x²y)

15.12x⁵y⁶

200

What is the product?

-w²⁰x¹²y⁴ * 9w⁴x³y¹⁰

-9w²⁴x¹⁵y¹⁴

300

Simplify:

2c(5a²bc² + 3a²c²b)

16a²bc³

400

What is the product?

-11m²n (3m³n² - 2mn³p)

-33m⁵n³ + 22m³n⁴p

500

What is the product?

 -4mⁿ * 5mⁿ

-20m²ⁿ

Multiplying Binomials

100

What is the product?

(x + 4)(x + 6)

x² + 10x + 24

200

Express as a trinomial: 

(x + 3)(x - 5) 

x² - 2x - 15

300

What is the product? 

(x + 4)²

x² + 8x + 16

400

Express as a trinomial: 

(2x - 1)²

4x² - 4x + 1

500

Express as a trinomial: 

-3(3x + 4)²

-27x² - 72x - 48