What are the possible rational zeros?

What are the possible rational zeros?

The only possible rational zeros of f ( x ) \displaystyle f\left(x\right) f(x) are the quotients of the factors of the last term, –4, and the factors of the leading coefficient, 2. The constant term is –4; the factors of –4 are p = ± 1 , ± 2 , ± 4 \displaystyle p=\pm 1,\pm 2,\pm 4 p=±1,±2,±4.

What are the possible rational roots?

the only possible rational roots would have a numerator that divides 6 and a denominator that divides 1, limiting the possibilities to ±1, ±2, ±3, and ±6. Of these, 1, 2, and –3 equate the polynomial to zero, and hence are its rational roots.

What is the rational 0 test?

The Rational Roots Test (also known as Rational Zeros Theorem) allows us to find all possible rational roots of a polynomial. In other words, if we substitute a into the polynomial P ( x ) P\left( x \right) P(x) and get zero, 0, it means that the input value is a root of the function.

What does find all zeros mean?

So basically when we are talking finding finding the zeros of an expression it means that we put the expression equal to 0. And then we solve for the variable which is x in this case.

What are the zeros of a rational function?

Rational zeros of a polynomial are numbers that, when plugged into the polynomial expression, will return a zero for a result. Rational zeros are also called rational roots and x-intercepts, and are the places on a graph where the function touches the x-axis and has a zero value for the y-axis.

What is a potential rational zero?

The possible rational zeros are where p is a factor of the constant term (-24) and q is a factor of the leading coefficient (1). Since q = 1 and we are using plus/minus, the possible rational zeros are simply the positive and negative factors of 24.

Is zero neither rational or irrational?

Irrational numbers are any real numbers that are not rational. So 0 is not an irrational number. Some (in fact most) irrational numbers are not algebraic, that is they are not the roots of polynomials with integer coefficients. These numbers are called transcendental numbers. π and e are both transcendental numbers.

What are possible zeros?

The possible rational zeros are 1, -1, 2, -2, 3, -3, etc. My method to find the factors, was to start with 1, and check integers to see if they would divide 24 evenly. Once I got to a factor that squared was equal or greater than 24, I used another strategy.