Add, Subtract, Multiply, and Factor Polynomials by GCF, Difference of Two Squares, and Trinomials

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Factor Completely: x²-17x+72

• (x-9)(x+8)

• (x-9)(x-8)

• x(x-3)

• (x+9)(x+8)

Mathematical Equivalence

ON

• x+4

• x+3

• x+12

• x-3

• x-4

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

• False

• True

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

When factoring a trinomial, you find two numbers that ______to the middle number, and ________ to the last number

Which of the following is a difference of perfect squares?

• x² - 18

• 4x² + 36 

• 9x² - 100

• x² + 4