Concept explainers
The solution of the equation
Answer to Problem 10CR
Solution:
The solution of the equation is
Explanation of Solution
Given information:
The equation
Explanation:
Consider the equation
Let
To solve this equation, use the rational root theorem to find its possible roots
Rational root theorem states that for a polynomial equation with integer coefficients
On comparing with above equation
Thus, possible roots are
That is,
Consider
Substitute
Therefore,
Therefore,
Factor out
Therefore,
Thus, the polynomial
Consider
Substitute
Therefore,
Therefore,
That is,
By synthetic division with
Therefore,
Thus, the term
To find the factors of
Consider
It could be checked by substituting
Thus,
By using synthetic division with
Thus, the term
Now, to factor the polynomial
Factor out
Consider
Therefore, the equation is
Using the Zero Factor Principle: If
Thus, solution of equation is
Chapter 8 Solutions
Precalculus
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