Factoring & Operations of Polynomials

Factor completely:
4x² - 9

• (2x² - 3) (2x² + 3)
• (2x - 3) (2x + 3)
• (2x - 3)²
• (4x - 1) (x + 9)

Tags

CCSS.HSA.APR.C.4

Factor completely:
k² + 7x + 10

• (k + 2) (k + 5)
• (k - 2) (k - 5)
• (k + 10) (k + 4)
• (k + 2) (k - 5)

Factor completely:
 2n² - 8n³

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

Factor  completely:
3v² - 4v - 7

• (3v - 7) (v + 1)
• 3 (v - 7) (v - 1)
• (3v + 1) (v - 9)
• (3v + 1) (v - 10)

Factor completely:
5n³ - 10n² + 3n - 6

• (5n² + 3) (n - 2)
• (5n² - 3) (n - 2)
• (5n³ + 3) (n - 2)
• 10n (n² - 6)

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

Multiply
(4x+3)(2x-1)

• 8x²-2x-3
• 8x-3
• 8x²+6x-3
• 8x²+2x-3

Tags

CCSS.HSA.APR.A.1

Multiply:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Tags

CCSS.HSA.APR.A.1

Name and Classify the Polynomial:
x² − 4

• quadratic binomial
• quadratic monomial
• linear binomial
• linear monomial