Solving Polynomial Equations

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)
• (x² + 1) (x - 343)
• (x - 7) (x² + 7x + 49)
• (x² - 343) (x + 1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:   x³ + 1

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Solve by Factoring:
x² + 15x + 64 = 20

• {-8, 2}
• {-7, 5}
• {-11, -4}
• {-11}

Tags

CCSS.HSA.REI.B.4

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1
• x = 4 and x = 3
• x = 1/4 and x = -3
• x = -1/4 and x = 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve x⁴ - 256 = 0

• x = 4, x = - 4
• x = 4, x = 4i
• x = 4, x -4, x = 4i
• x = 4, x -4, x = 4i,         x = -4i

Tags

CCSS.HSA-REI.B.4B

Is (x+5) a factor of x³+2x²-x+4 ?

• Yes

• No

Tags

CCSS.HSA.APR.B.2

Solve by completing the square: 25x²+20x+4 = 16

• x = 2/5, -6/5

• x = - 2/5, 6/5

• x = 5/2, -5/6

• x = -5/2, 5/6

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3