Algebra Basic Factoring Review

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor
x² + 4x + 3

• (x - 1)(x - 3)

• (x + 1)(x + 3)

• (x - 1)(x + 3)

• (x + 1)(x - 3)

Factor 4x - 20

• 4(x -5)

• 4(x + 5)

• 4x(1 - 5)

• 4x(1 + 5)

Factor:
p² - 14p

• p(1 - 14)

• 2p(p - 7)

• p²(1-14)

• p(p - 14)

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Match each polynomial to its factored form.

• (8x - 1)(8x + 1)

• (x - 3)(3x + 5)

• (x + 8)(x + 2)

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Identify which polynomial is a sum of cubes and difference of cubes.

a

b

Difference of Cubes

Sum of Cubes

Factor the Polynomial 2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)