Question

Asked Oct 12, 2019

how do i use the rational zero theorem to find all real zeros ? step by step please

Step 1

By using Rational Zero theorem to find the all real zeroes of the given polynomial equation.

Step 2

According to "Rational Zeros Theorem":

If f(x) is a polynomial with integer coefficients and if p/q is a zero of f(x) (f(p/q) = 0), then p is a factor of the constant term of f(x) and q is a factor of the leading coefficient of f(x).

We can use the Rational Zeros Theorem to find all the rational zeros of a polynomial. Here are the steps:

Step 1: Write the given polynomial in descending order.

Step 2: Find the factors of constant term named as p.

Step 3: Find the factors of leading coefficient named as q.

Step 4: Write down the p/q (both negative & positive) and cross out the duplicates values.

Step 5: Determine which possible zeros are actual zeros by evaluating each case of f(p/q)

Step 3

Use the steps to determine ...

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