Multiplying Polynomials Factoring Cubes
Multiplying Polynomials What to do…FOIL May have to foil more than once
Multiply (2x-3)(x+4)
Multiply (x+2)(x 2 +4x+1)
Multiply (x-3)(x+2)(x-1)
Factoring Polynomials You need to know your perfect cubes! 2 3 =8 3 3 = = =125
Factoring Polynomials There is a formula to use for perfect cubes! a 3 +b 3 =(a+b)(a 2 -ab+b 2 ) a 3 -b 3 =(a-b)(a 2 +ab+b 2 )
Factoring Polynomials 1. Determine what “a” and “b” are by taking the cube root of the first term and the cube root of the second term 2. Determine which formula you need 3. Fill in the formula
Factor x 3 +27
Factor x 3 -1
Factor x
Factoring cubes that are not perfect squares Factor out the greatest common factor Then factor using other methods if possible x 3 -5x 2 -6x
Factor x 3 +4x 2 +2x+8
Factor x 3 +5x 2 +3x+15