Solve the following? #(x−1)(x−3)(x−5)(x+1)=−12#
first, we can expand each of the brackets using FOIL
Now we can simplify these and combine them back together into the original expression.
Now we can factorise this.
Now we can collect like terms and simplify.
Now we can find
The only way that I could find to solve this is through using the Quartic formula.
Multiply the first two and the last two parentheses together.
Hmm... We see that the first quadratic expression is 8 larger than the second.
We now have:
We can use this to solve for
The answers are