Factoring Polynomials

Factor completely:
16x² - 20xy

• 4 (4x² - 5xy)
• 4x (4x - 5y)
• 4x² (4 - 5y)
• 2(duck)

Factor Completely: 3x²+15x-72

• x(x+5)
• 3(x+8)(x-3)
• (3x+24)(x-3)
• 3(x-8)(x+3)

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

Factor Completely: 16q³-48q²+36q

• 4q(2q-3)²
• 4q(2q+3)²
• 4(4q³-12q²+9q)
• 4q(2q-3)(2q+3)

Factor Completely: x²-17x+72

• (x-9)(x+8)
• (x-9)(x-8)
• x(x-3)
• (x+9)(x+8)

Factor Completely: x²+13x+40

• (x+5)(x+8)
• 5x(x+3)
• 3x(x+6)
• x(x-4)

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Factor Completely: 14p²-24p-8

• (5p+3)(p-4)
• (3p-2)(p+10)
• 2(7p-2)(p+2)
• 2(7p+2)(p-2)

Factor completely:
x² - 5x + 3

• (x + 3) (x + 1)
• (x - 3) (x - 1)
• prime
• (x - 3) (x + 1)