To calculate: The value, the number and type of root for the equation
Answer to Problem 6.7.3EP
There are four real roots for the equation
Explanation of Solution
Given information:
The equation
Formula used:
A polynomial of n degree has n roots, which can be either real or imaginary.
Calculation:
Consider the equation
Simplify and isolate the value of x ,
Apply the zero property, that is either
Check for a real number that satisfy the equation
When
Now, substitute
Therefore,
Next, divide the factor by
Now, factor the equation
Recall that quadratic formula is
Therefore,
Since the degree of equation is 4, it has four roots.
The roots obtained are real.
Thus, there are four real roots for the equation
Chapter EP Solutions
Algebra 2
Additional Math Textbook Solutions
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
College Algebra
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