Factoring Polynomials Practice Test

Find the difference.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

Simplify the expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x
• 16x⁴  + x² + 14x
• 11x⁴  + x² + 14x
• 11x⁴  + 2x² + 10x

What type of polynomial is this and what is its degree?
5b³ - 3 + 6b 

• 3rd degree binomial
• 3rd degree monomial
• 3rd degree trinomial
• 1st degree polynomial

Simplify the expression.
-4(9 + 3x) - 4(x - 2)

• -16x-28
• -16x-44
• 20x - 12
• 30x - 9

Multiply
(2x-1)(x+3)

• 2x²+5x-3
• 2x-3
• 2x²+6x-3
• 2x²-5x-3

Multiply
(x+5)²

• x²+25
• x²-25
• x²+10x+25
• x²-10x+25

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n²)
• 2n³(10-8n²)
• 3n(1-4n)

What is the factored form of 2a³-2a²

• 2a²(a)
• 2a(2a²-a)
• 2a²(a-1)
• 2a²(a+1)