Chapter 8 Part 1 Review

Multiply Binomials

100

(x+1)3x

What is 3x²+3x

200

(3x+1)²

What is 9x²+6x+1?

300

(x + 1)(x - 3)

What is x² - 2x - 3?

400

(3x² + 4)(3x² - 4)

What is 6x⁴ - 16

500

(3xy+6)(2x+y)

What is 6x²y+3xy²+12x+6y

Multiply Trinomials

100

3x(x²+2x-1)

What is 3x³+6x²-3x?

200

(x + 1)(3x² - 2x + 1)

What is 3x³ + x² - x + 1?

300

(x+3)(3x² - 4x - 5)

What is 3x³ + 5x² - 17x - 15?

400

(x² + 3x + 1)(x² - 4x + 2)

What is x⁴ - x³ - 9x² + 2x + 2?

500

(2xy+3x+1)(2x²+2x+2)

What is 4x³y + 6x³ + 4x²y + 8x² + 4xy + 8x + 2?

Vocabulary

100

An expression with a degree of 1

What is linear?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

An expression with a degree of four

What is 4th degree

500

Categorize by degree and terms: x³ + 4x² - 9x +2

What is a Cubic Polynomial?

Factor out GCF

100

Factor 4x² + 8x + 12

What is 4(x² + 2x + 3)

200

Factor 5x⁴ - 20x³ + 35x²

What is 5x²(x² - 4x + 7)

300

Factor 3x⁵y³ -12x³y² + 15x²

What is 3x²(x³y³ - 4xy² + 5)

400

Factor a⁶b⁴ - a⁵b³ - a³b²

What is a³b²(a³b² - a²b - 1)

500

Factor 14x⁵y⁴z³ - 56x⁴y²z² + 84x²yz

What is 14x²yz (x³y³z² - 4x²yz + 6)

Add/Subtract

100

Add the polynomials: (9x - 6) + (-5x + 7)

What is 4x + 1?

200

(3x² + 8x) - (5x² - 5)

What is -2x² + 8x + 5

300

9(2x² - 3x) + 6(x² + 2)

What is 24x² - 27x +12

400

a+4(6a+2b²)+(a² - 6b²)

What is a²+25a+2b²

500

Subtract the polynomials: (-7x²y + xy + 3x + 2) - (5x²y - 5xy - 6x - 7)

What is - 12x²y + 6xy + 9x + 9