Polynomials Practice!

Divide (4x³-2x²-3) by (2x²-1).

• 2x-1 +(2x-4)/(2x²-1)
• 2x+3 +(x-3)/(2x²-1)
• 2x-1
• 2x+3 +(3x-5)/(2x²-1)

Divide x⁴ + x³ +2x² +x -1  by (x+1)

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

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

Find the 3rd term in the expansion of (x-3)⁷

• -5103x²
• 189x⁵
• 189
• -5103

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!
• No, it is not a factor!

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor this sum of cubes:
216x³ + 125

• 6(x + 5)³
• (6x - 5)(36x² + 30x + 25)
• (6x + 5)(6x² - 30x + 25)
• (6x + 5)(36x² - 30x + 25)

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3