Math 8 Polynomial Review A

Adding/Sutbracting Polynomials

100

(5n³ - 8) + (6n³ - 5n²)

What is 11n³ - 5n² - 8?

200

(x⁴ - 6x) - (4x + 2x⁴)

What is -x⁴ - 10x

300

(6a⁴ - a³ - 3a² + 8a) + (7a⁴ - 6a + 8a³)

What is 13a⁴ + 7a³ - 3a² + 2a?

400

(3x + 5x³ - 7x⁴ + 4) - ( 1 - x² + 4x⁴ + 3x³)

What is -11x⁴ + 2x³ + x² + 3x + 3?

500

(2m - m² - 5) + (8m³ + 6m²) + (6m³ - 8m² + 6m⁴)

What is 6m⁴ + 14m³ - 3m² + 2m - 5?

Factoring Trinomials

100

x² + 3x + 2

What is (x+1)(x+2)?

200

a² + 13a + 42

What is (a+6)(a+7)?

300

f² - 7f - 44

What is (f-11)(f+4)?

400

q² + 16q + 63

What is (q+9)(q+7)?

500

x² - 64

What is (x-8)(x+8)?

Identify Polynomials

100

3x

What is a monomial?

200

3x+2

What is a binomial?

300

x² + 3x - 10

What is a trinomial?

400

What is the degree of the polynomial?

2x³y² + 4xy - 6

What is 5?

500

3x³y⁵ + 6x²y⁷ + x⁷y⁹ 

What is the degree?

What is the number of terms?

What is 16?

What is 3?

Factor using Monomials

100

4 + 2b²

What is 2(2 + b²)?

200

12x² - 15x - 9

What is 3(4x² - 5x - 3)?

300

6n⁷ + 2n⁵ + 8n⁴ - 4n³

What is 2n³(3n⁴ + n² + 4n - 2)?

400

4u²v + 4u²v³ + 4u²v⁶

What is 4u²v(1 + v² + v⁵)?

500

20x²y + 20x⁴y - 4x⁵y

What is 4x²y(5 + 5x² - x³)?

Factor using Grouping

100

2p³ + 6p² + p + 3

What is (2p² + 1)(p + 3)?

200

2m³ - m² - 2m + 1

What is (2m - 1)(m²-1)?

300

25r³ + 15r² + 15r + 9

What is (5r² + 3)(5r + 3)?

400

20x³ + 90x² + 14x + 63

(10x² + 7)(2x + 9)?

500

10n³ - n² - 10n + 1

What is (10n - 1)(n² -1)?