Factoring Easy Polynomials

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor
x² - 9x + 18.

• (x - 3)(x - 6)

• (x + 6)(x - 3)

• (x - 9)(x - 2)

• (x - 6)(x + 3)

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁶)

• 3x²(80x³-40-60x⁵)

Factor:
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor
3x² + 5x - 12.

• (x + 3)(3x - 4)

• (3x + 4)(x - 3)

• (3x + 3)(x - 4)

• (3x - 3)(x + 4)

Factor 25x² - 81.

• (5x -  9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• cannot be factored