Factoring Polynomials Diamond Method Worksheet

Fully Factor the Following
216x³+125

• 6(x+5)³

• (6x+5)³

• (6x+5)(6x²-30x+25)

• (6x+5)(36x²-30x+25)

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor
4x²-25x+25

• 4(x-5)(x+5)

• (x+5)(4x+5)

• (x-5)(4x-5)

• (x+2)(9x+1)

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)

• Not Factorable

• (k-5)(k+9)

• 2(k-10)(k+3)

Factor Completely: x²-7x-8

• (x+1)(x-8)

• (x+1)(x+8)

• 5(x+4)(x+5)

• (x-1)(x+8)

Factor Completely: 4k²+24k+36

• (2k+6)²

• (2k-6)²

• (2k-6)(2k+6)

• 4(k+3)²

Factor Completely: 5x²-11x+6

• (5x+6)(x-1)

• (5x-6)(x-1)

• (2x-7)(x-3)

• (5x-6)(x+1)

Factor the GCF
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)