Factoring Cubic

Factor 8z³+125

• (2z+5)(4z²-25)

• (2z+5)(4z²+10z+25)

• (2z+5)(4z²-10z+25)

• 4z+5)(2z²-5z+25)

Is the factor a root of the polynomial?

• Yes, remainder is 0.

• No, remainder is not 0.

What is the proper way to write the answer for the following problem?

• -2x³+x²+25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Is the factor a root of the polynomial?

• Yes, remainder is 0.

• No, remainder is not 0.

Factor completely:
x³ + 3x² - 4x - 12

• (x + 3)(x² - 4)

• (x + 3) (x + 2)(x - 2)

• (x² + 4) (x - 3)

• (x² + 3)(x - 4)

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Factor.

2a³ +10a² + 12a

• 2a(a + 2)(a + 3)

• 2(a² + 5a + 6)

• 2a(a + 6)(a + 2)

• 2(a + 4)(a + 3)

3x³ + 24

• 3(x³ + 8)

• 3(x + 2)(x² - 2x + 4)

• 3(x + 2)(x² + 2x - 4)

• 3(x + 8)(x² - 8x + 64)

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)