To solve the polynomial equation
by factoring. We will group the terms and factor them step by step.
Step 1: Group the Terms
We can group the polynomial as:
Step 2: Factor Out the Common Factor
Now we can factor out the common factor :
Step 3: Set Each Factor to Zero
Now, we can set each factor equal to zero:
From the first factor:
From the second factor:
Step 4: Factor the Difference of Squares
The expression () is a difference of squares, which can be factored as follows:
Step 5: Further Factor the Difference of Squares
The term () can be factored further: