Solve by Factoring Polynomials

2n³ + 7n² - 2n - 7

• cannot be factored
• (n - 1)²(2n + 7)
• (n² - 1)(2n + 7)
• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

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

• Yes, it is a factor

• No, it is not a factor

What are the roots of the following factored polynomial?

(x + 1)(x - 1)(2x + 1)=0

• x= -1/2, -1, 1

• x= 1/2, -1, 1

• x = - ± 1

• x= 1/2, 1

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor

81m² - 1

• not factorable

• (m- 9)(m + 9)

• 9m (9m - 1)

• (9m - 1)(9m + 1)

Factor: 7r³ - 8r² + 42r - 48

• (r² + 6)(7r + 8)

• (r² + 6)(7r - 8)

• (r² + 6)(r² + 8)

• (r² + 6)(7r + 6)

Factor by grouping:

x³ + 7x² - 2x -14

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Factor by grouping

x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x - 2)(x + 2)

• (x + 4)(x² + 4)

• (x - 4)(x - 2)

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

• Yes, it is a factor

• No, it is not a factor

Factor:

x⁴ + 7x² - 30

• (x² + 10)(x² - 7)

• (x² - 10)(x² + 3)

• (x + 10)(x + 3)

• (x² + 10)(x² - 3)