Algebra 2: Factoring Polynomials

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)

8n⁴ + 16n³

• 8n²(n + 2)

• 8n³(n - 2)

• 8n⁴(n + 2)

• 8n³(n + 2)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Find the factors of

5m² - 45m + 90

• 3(m + 1)(m + 8)

• 5(m - 3)(m - 6)

• 2(m - 7)(m + 3)

• 5(m - 5)(m + 3)

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely:
x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)