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Is it true or false that Polynomials with the same graph can have different roots.?
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How do you Explain how your understanding the details of polynomials can help you work through and graph a function. You may include details such as the degree leading coefficient the rational roots f?
You need to do this assignment. We don't do homework and your teacher is looking for critical thinking skills and how well you understood the lesson.
What are three names for the x coordinate on a graph?
roots, zeroes, x-intercepts, abscissa.
How are positive square roots different?
The answer depends on "different from WHAT?" Positive cube roots, or negative square roots?
How many roots does y x2 - 4x 4 have It may help to graph the equation?
4
How many roots does y equals x2 - 2x plus 5 have?
The equation [ y = x2 - 2x + 5 ] has an infinite number of solutions,corresponding to every point on the graph of it.The ROOTS corresponding to the two values of 'x' that satisfy the equation when y=0 ...in other words, the points where the graph crosses the x-axis.In the particular case of this equation, the graph doesn't cross the x-axis at all,and the roots are not real numbers. There are still two of them, and they arecomplex conjugates.The roots areX = 1 ± 2 i
Can polynomials with the same graph have different roots?
False! If the graph is exactly the same, then the x-intercepts will be the same which implies the roots are them same. However, you can have the same roots and different graphs. So while the first statement is true, the converse if not.
Polynomials with the same roots always have the same graphs?
false
Finding roots by graphing not only works for quadratic that is second-degree polynomials but polynomials of degree as well?
Higher
What is a polynomial that does not factor over the real numbers referred to as?
There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
How do you find the roots of a polynomial of graphed points?
Join the points using a smooth curve. If you have n points choose a polynomial of degree at most (n-1). You will always be able to find polynomials of degree n or higher that will fit but disregard them. The roots are the points at which the graph intersects the x-axis.
How do you Explain how your understanding the details of polynomials can help you work through and graph a function. You may include details such as the degree leading coefficient the rational roots f?
You need to do this assignment. We don't do homework and your teacher is looking for critical thinking skills and how well you understood the lesson.
Is it false that plant roots cause oxidation to the soil?
Yes. It is false that plant roots cause oxidation to the soil.
What two roots are in autograph and autobiography?
Auto & graph.
Can Polynomials with the same roots can have different graphs.?
If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.
What does it mean when the graph of a quadratic function crosses the x axis twice?
When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.
When the graph of a quadratic equation has its turning point on the x-axis how many roots does it have?
It will have two equal roots.
What is False cognate?
False cognates are pairs of words in the same or different languages that are similar in form and meaning but have different roots. The term false cognates is also used (incorrectly in linguistic terms) for false friends. False friends are words that look similar in different languages, but mean different things. For example, French librairie is a false friend of English library. For the former means bookstore. The actual French for library is bibliotheque.
