All Things Algebra Factoring

Solve for x
5x³-17x²+6x=0

• x=0, -2/5, and -3

• x = 0, 2/5, and -3

• x = 0, 2/5, and 3

• x = 0, -3/5, and -2

Factor 
u³-8

• (u-2)(u²+2u+4)

• (u+2)(u²-2u+4)

• (u-2)³

• (u+2)³

Which method of factoring would you choose for
27u⁶-63u³

• Different of Squares

• Grouping

• I- Chart with Grouping (a>1)

• Perfect Cubes

p² - 2p + 1

• (p - 1)²

• (5p - 2)²

• (p + 1)(p - 1)

• (p + 5)²

6n³ + 5n² +12n + 10

• (n² + 2)(6n - 5)

• (n² + 2)(n² - 5)

• (n² - 2)(n² - 5)

• (n² + 2)(6n + 5)

5p³ + 50p² + 80p

• 5p(p - 2)(p + 8)

• 3(p + 10)(p + 6)

• 5p(p + 2)(p + 8)

• 5p(p + 2)(p - 8)

8a² + 14ab - 9b²

• (4a - 9b)(2a - b)

• (4a + 3b)(2a - 3b)

• Not factorable

• (4a + 9b)(2a - b)

16v² + 44v + 30

• 16(v + 3)(v - 5)

• 2(8v + 3)(v + 5)

• 2(4v + 3)(2v - 5)

• 2(2v + 3)(4v + 5)

45x² - 20y²

• (3x - 2y)²

• Not factorable

• 5(3x + 2y)(3x - 2y)

• 5(9x + 4y)²