Algebra Factoring Test

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Which one is false about the difference of two squares?

• We can factor that it is addition sign.

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

• Formula: a² - b² = (a + b) (a - b)

• We can factor that it is minus sign.

Match each polynomial to its factored form.

• (x - 3)(3x + 5)

• (x + 8)(x + 2)

• (8x - 1)(8x + 1)

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Identify which polynomial is a sum of cubes and difference of cubes.

a

b

Sum of Cubes

Difference of Cubes

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)