Solving Polynomials - factoring and rational roots theorem

x² + 12x + 32 = 0

• x = -4, 8

• x = 4, 8

• x = -4, -8

• x = 0, 12

Tags

CCSS.HSA-REI.B.4B

Solve the trinomial:

12x²-12x - 24 = 0

• -1,2

• 1,2

• 1,-2

• -1,-2

Tags

CCSS.HSA-REI.B.4B

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

64x³ + 125

• (4x - 5)(16x² + 20x + 25)

• (4x + 5)(16x² - 20x + 25)

• (4x - 5)(16x² + 20x - 25)

• (4x + 5)(16x² - 20x - 25)

Tags

CCSS.HSA.APR.C.4

Solve 8x³ - 27 = 0

• 
  

  $x\ =\ \frac{3}{2},\ \ \frac{-3\pm3i\sqrt{3}}{4}$

• x = $\frac{3}{2},\ \frac{3\ \pm3\sqrt{3}}{4}$

• x = $-\frac{3}{2},\ \frac{-3\pm3i\sqrt{3}}{4}$

• $x=\frac{3}{2},\ \frac{-3\pm3\sqrt{3}}{2}$

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7C

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3
• ±1, 7
• ±1, ±3, ±7, ±7/3
• ±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.3

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Tags

CCSS.HSA.APR.B.2