Algebra 2 Test 4

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)
• 3x³(3xy - 8)
• 3x²(3x²y - 8)
• x²(9x²y - 24)

Factor the trinomial:
x² - 4x - 12 

• (x - 6)(x - 2)
• (x - 8)(x + 2)
• (x - 6)(x + 2)
• (x + 6)(x - 2)

Factor the trinomial:
x² - 6x + 9 

• (x + 3)²
• (x + 3)(x - 3)
• (x - 9)(x - 3)
• (x - 3)²

Factor the binomial:
9x² - 25

• (3x - 5)(3x + 5)
• (3x - 5)(3x - 5)
• (3x + 5)(3x + 5)
• (9x + 5)(x - 5)

Factor the binomial:
x² - 144

• (x + 12)(x + 12)
• (x - 12)(x - 12)
• (x + 12)(x - 12)
• (x - 16)(x + 9)

Factor out the GCF:
12x²y⁵ - 18xy⁷

• 2xy⁵(6x - 9y²)
• 3y⁵(4x² - 6xy²)
• xy⁵(12x - 18y⁵)
• 6xy⁵(2x - 3y²)

Find the product:
(5n-8)(5n+8)

• 25n²-64
• 10n²
• 5n²+16
• 16

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

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

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

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