what is f(x)=6x^3-12x^2-x+2 factored

Question

what is f(x)=6x³-12x²-x+2

Answer 1

f(x)=2x³⁺6x²-12x-36

 

Step 1: Split the Polynomial into 2 parts

f(x)=2x³+6x² & -12x-36

 

Step 2: Find the Greatest Common Factor on Each Side

2x³+6x² --> 2x² --> 2x²(x+3)

-12x-36--> -12 --> -12(x+3)

 

Step 3: Group the common expression with the multiples

(2x²-12)(x+3)

 

Step 4: Set each term equal to zero and solve

2x²-12=0

2x²=12

x²=6

x=√6

 

x+3 = 0

x=-3