Question

Find all the real solutions to the polynomial
equation 2 x^4− 7 x^3+ x^2+ 16 x − 12 = 0.

Answer 1

Try substituting x by 1.
And then perform long division of the polynomial by (x-1)
Factorize the quotient and get the remaining factors.
You should get (x-1)( 2x^2 + x -3)
=> (x-1)(x -2)(x-3/2)