Gcf and Factoring Polynomials When a Does Not Equal 1

Factor completely: 2x²+22x+60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Tags

CCSS.7.EE.A.1

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)

• Not Factorable

• (k-5)(k+9)

• 2(k-10)(k+3)

Factor:
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor completely 2x³+4x²+8x

• 2x(x² +2x + 4)

• 2x(x² -2x + 4)

• 2x(x² + 2x + 8)

• 2x³ + 4x² + 8x

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 3x²+15x-72

• x(x+5)

• 3(x+8)(x-3)

• (3x+24)(x-3)

• 3(x-8)(x+3)

Factor Completely: 16q³-48q²+36q

• 4q(2q-3)²

• 4q(2q+3)²

• 4(4q³-12q²+9q)

• 4q(2q-3)(2q+3)

Tags

CCSS.HSA.APR.C.4

Factor: 56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4