3.1 - 3.4 Review

What is the third term for the expansion (2x-5)⁵? Use the binomial theorem.

• 2000x³

• 500x³

• 5000x²

• 800x³

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴? Use the binomial theorem.

• 4

• -24

• -96

• 216

Multiply
(x²-2x+1)(x+1)

• x³-x²-x+1
• x³-2x+2
• x³+x²+x+1
• x³-3x²-3x+1

Simplify the expression
(x - 3)²

• x² - 6x + 9
• x² + 9
• x² + 6x - 9
• x² + 6x + 9

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

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Simplify. 10a²b³(3a+4ab)

• 30a³b³+40a³b⁴

• 30a²b³+40ab

• 30ab³+40a²b3

• 30a²b³+40a²b³

Factor by grouping. 9x² - 3xy + 6x - 2y

• (9x + y)(x - 2)

• (9x - y)(x + 2)

• (3x - y)(3x +2)

• (3x + y)(3x - 2)

Factor by grouping. x³+4x²-9x-36

• (x+3)(x-3)(x+4)

• (x²-9)(x+4)

• x²(x+4)-9(x+4)

• x²(x+4)+9(-x-4)

Is (x+3) a factor of x⁵+18x²-12x+44?

• yes

• no