|Rational Zero Theorem|
If a polynomial equation has integer coefficients, then any rational zero must be in the form of
where p is a factor of the constant term, and q is a factor of the leading coefficient.
Find the rational zeros of:
First, we determine the factors of the leading coefficient and the constant:
Next, we perform synthetic division using each p/q term is the divisor. Any row that has no remainder is a 0 for this function.
The value of the function is 0 when x = -3, x = 1/2, and x = 1.