Factoring Completely Polynomials

Factor completely:

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Factor completely: 64x³+125

• (4x+5)(16x²-20x+25)

• (4x-5)(16x²+20x+25)

• (4x-5)(4x²+20x-25)

• (4x-5)(4x²+20x+25)

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor completely:

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor completely:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor completely:

81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely:

x⁴ - 9x²

• x²(x + 3)(x - 3)

• (x² + 3x)(x² - 3x)

• (x² + 9)(x - 3)(x + 3)

• x²(x² - 9)

Factor Completely:

4k² + 24k + 36

• (2k + 6)²

• (2k - 6)²

• (2k - 6)(2k + 6)

• 4(k + 3)²

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²