Algebra 2 Factorization, Factoring Polynomials, & quadratics

Find the GCF and LCM of 48u³v² and 72u²v³w

• GCF: 12u²v², LCM: 96u³v³w

• GCF: 16u²v², LCM: 72u³v³w

• GCF: 24u²v², LCM: 144u⁵v⁵w

• GCF: 24u²v², LCM: 144u³v³w

Factor x³ - 16x = 0

• x(x - 16)(x + 16) = 0

• x(x - 4)(x + 4) = 0

• x(x - 8)(x + 8) = 0

• x(x - 2)(x + 2) = 0

Factor x² + 6x + 5 = 0

• (x + 1)(x + 5) = 0

• (x + 1)(x + 2) = 0

• (x + 3)(x + 4) = 0

• (x + 2)(x + 3) = 0

Factor x³ + x² - 5x - 5 = 0

• (x - 1)(x + 1)(x - 5) = 0

• (x - 1)(x + 1)(x + 5) = 0

• (x² - 5)(x + 1) = 0

• (x - 1)(x² + 5) = 0

Factor 10n³ + 5n² - 2n - 1

• (2n - 1)(5n + 1)(n - 1)

• (5n² + 1)(2n - 1)

• (2n + 1)(5n - 1)(n - 1)

• (5n² - 1)(2n + 1)

3x⁴ - 9x² - 30

• (x² + 2)(3x² - 15)

• 3(x² - 5)(x² + 2)

• (x² - 6)(3x² + 5)

• 3(x⁴ -3x² - 10)

Factor the perfect square trinomial: x² + 6x + 9

• (x + 2)²

• (x + 3)²

• (x + 4)²

• (x + 3)(x+3)

Factor the perfect square trinomial: 4s² - 4st + t²

• (2s + t)²

• (2s - t)(2s + t)
• (2s + t)(2s - t)
• (2s - t)²

5p² - 5p - 10

• 5(p² - p - 2)

• 5(p-1)(p-2)

• 5(p-2)(p+1)
• 5(p-1)(p+2)

25m² - 16

• (5m + 4)(5m - 4)
• (5m - 4)(5m - 4)
• (5m - 8)(5m + 8)

• (5m + 4)(5m + 4)