
Concept explainers
To calculate: The simplified form of the equation
Find all the possible zeros of rational function.

Answer to Problem 7CYU
The simplified form of the equation
Explanation of Solution
Given information:
The given equation:
Calculation:
Consider the expression as:
Now take
Here,
This function is not a perfect cube.
So in grouping solve the equation.
As,
Now factor out the common terms:
The factorization is failed.
Now find the rational possible roots:
The leading coefficient is
Now factor of leading coefficient is:
Now to find the list of positive rational solutions for the expression look at the factors of the constants.
That are:
Here the last two terms subtracting values from the cube of the first and want to get zero,
So as have to take the positive number, and mostly take the less than mid-way.
So take a startup with
So the value is not zero its too grater than zero.
So check with the value
To get zero:
r
So the value is not zero its too grater than zero.
So check with the value
To get zero:
So check with the value
To get zero:
So the value is zero its rational root.
So check with the value
To get zero:
Here got the two real root, it means
Now divide the expression
So the other factor is:
Now find the factors of the expression
This term has no factors.
Here these two factors are not same so this equation cannot be factored any more and had no rational roots.
Thus, the simplified form of the equation
Chapter 6 Solutions
Algebra 2
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
A First Course in Probability (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th Edition)
- In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forwardIn simplest way, For each quadratic relation, find the zeros and the maximum or minimum. a) y = x 2 + 16 x + 39 b) y = 5 x2 - 50 x - 120arrow_forwardIn simplest terms and step by step Write each quadratic relation in standard form, then fi nd the zeros. y = - 4( x + 6)2 + 36arrow_forward
- In simplest terms and step by step For each quadratic relation, find the zeros and the maximum or minimum. 1) y = - 2 x2 - 28 x + 64 2) y = 6 x2 + 36 x - 42arrow_forwardWrite each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forward
- Step by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forwardIn simplest terms and step by step how do you find the zeros of y = 6x2 + 24x - 192arrow_forwardStep by step Find the zeros of each quadratic relation. a) y = x2 - 16xarrow_forward
- In simplest step by step terms, how do you find the zeros of y = x2 - 16arrow_forwardIn simplest terms, Describe the shape and position of the parabola relative to the graph of y = x 2 y = - 80( x + 9) 2 + 10.8arrow_forwardas a Identify each equation Parabola, circle, ellipse perbola without completio the square. x²-6x-14 y = 33-y² 14y ofarrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





