Using p over q to find the rational zeros of a polynomial

The video tutorial explains the rational zero test, focusing on determining the factors of P and Q, which represent the constant and leading coefficient, respectively. The instructor guides through the process of identifying these factors and using them to determine all possible rational zeros of a polynomial. The tutorial concludes with examples to illustrate the application of the test and emphasizes that any rational zero must be one of the identified numbers.

What does the letter P represent in the Rational Zero Test?

• The leading coefficient

• The constant term

• The variable term

• The degree of the polynomial

How do you determine the possible rational zeros using the Rational Zero Test?

• By adding the factors of P and Q

• By multiplying the factors of P and Q

• By dividing the factors of P by the factors of Q

• By subtracting the factors of Q from P

Why is it unnecessary to write the same factor twice when listing possible rational zeros?

• Because it is redundant

• Because it is incorrect

• Because it is confusing

• Because it is time-consuming

What happens if you perform synthetic division with a number that is not a rational zero?

• You get a zero remainder

• You get a factor of the polynomial

• You get a quotient of zero

• You get a remainder

Which of the following is not considered a rational zero?

• A whole number

• A fraction

• An imaginary number

• A negative integer