Polynomials

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

• 3x⁴ - 2x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 4
• 3x⁴ - 5x³ - 4x² - 4

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

• -17v⁴ + 4v³ + 2v - 7
• -16v⁴ + 4v³ + 10v - 7
• -16v⁴ + 4v³ + 7v - 7
• -16v⁴ + 4v³ + 2v - 7

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6
• -14p⁴ + 9p³ + 6
• -14p⁴ + 9p³ - 1
• -15p⁴ + 9p³ + 6

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(4a + 1 + 4a⁴) - (4a³ + 2a + 3a⁴)

• a⁴ - 4a³ + 3a + 7
• a⁴ - 7a³ + 3a + 7
• a⁴ - 4a³ + 3a + 1
• a⁴ - 4a³ + 2a + 1

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(8 - 3x² - 7x) + (x⁴ - 4x - 7x²)

• x⁴ - 6x² - 11x + 8
• x⁴ - 10x² - 11x + 8
• x⁴ - 6x² - 11x + 15
• -3x⁴ - 6x² - 11x + 15

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(4 - k³ - 2k²) + (2k² + 6k³ + 3)

• k³ + 7
• 5k³ + 7
• k³ + 9
• k³ + 16

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(5b - 3b³ - 8b²) - (2b³ - 4b² + 6b - 3b⁴)

• 3b⁴ - 5b³ - 11b² - b
• 3b⁴ - 5b³ - 11b² - 9b
• 3b⁴ - 5b³ - 11b² - 15b
• 3b⁴ - 5b³ - 4b² - b

Tags

CCSS.HSA.APR.A.1

Is 4x⁵y² a monomial?

• yes
• no

Put this in Standard Form.
u³ + 3u² - 4u + 2

• 3u² + u³  - 4u + 2
•  - 4u + 3u² + 2 + u³
• 3u² + u³ + 4u + 2
• It's already in Standard Form

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³
• 9x² + 5x + 2x³ + 27
• 9x² + 5x + 27 + 2x³
• 2x³ + 9x² + 5x + 27