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What else can I help you with?
What best describes a root of a polynomial?
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
Why does every polynomial have a real root?
1+x2 is a polynomial and doesn't have a real root.
Is the square root of x a polynomial?
No,
Is it possible to find a polynomial of degree 3 that has -2 as its only real zero?
5
What can the degree of a polynomial tell you about the graph?
The degree is equal to the maximum number of times the graph can cross a horizontal line.
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor?
a
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - a is a factor?
B
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - c is a factor?
a
Which mathematical term describes the x-value of a point where the graph of a polynomial crosses the x-axis?
A root or a zero of the polynomial.
What best describes a root of a polynomial?
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
What does it mean to be a root of a polynomial?
A root of a polynomial is a value of the variable for which the polynomial evaluates to zero. In other words, if ( p(x) ) is a polynomial, then a number ( r ) is a root if ( p(r) = 0 ). Roots can be real or complex and are critical for understanding the behavior and graph of the polynomial function. The Fundamental Theorem of Algebra states that a polynomial of degree ( n ) has exactly ( n ) roots, counting multiplicities.
What is the number which when substituted in a polynomial makes its value zero?
A root.
What is the factorization of the polynomial graphed below Assume it has no constant factor.?
To determine the factorization of a polynomial based on its graph, you need to identify its roots (x-intercepts) and the behavior of the graph at those points. If the graph crosses the x-axis at a root, that root corresponds to a linear factor, while if it just touches the axis, it indicates a repeated factor. Please provide information about the specific roots or characteristics of the graph for a more precise factorization.
The graph of a polynomial changes direction twice and has only one root What can you say about the polynomial?
It is a polynomial of odd power - probably a cubic. It has only one real root and its other two roots are complex conjugates. It could be a polynomial of order 5, with two points of inflexion, or two pairs of complex conjugate roots. Or of order 7, etc.
How do you graph a polynomial in order to solve for the Zeros?
Either graph the polynomial on graph paper manually or on a graphing calculator. If it is a "y=" polynomial, then the zeroes are the points or point where the polynomial touches the x-axis. If it is an "x=" polynomial, then the zeroes are the points or point where the polynomial touches the y-axis. If it touches neither, then it has no zeroes.
Polynomial function has a root of and ndash6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree which could be the graph o?
The polynomial function can be expressed as ( f(x) = -k(x + 6)^3(x - 2)^4 ), where ( k > 0 ). Given that it has a root of -6 with multiplicity 3 and a root of 2 with multiplicity 4, the overall degree of the polynomial is 7 (odd). With a negative leading coefficient, the graph will fall to the right and rise to the left. Additionally, at ( x = -6 ), the graph will have a local maximum, and at ( x = 2 ), it will have a local minimum.
When graphing polynomials the x intercept of tye curve are xalled?
When graphing polynomials, the x-intercepts of the curve are called the "roots" or "zeros" of the polynomial. These are the values of x for which the polynomial equals zero. Each root corresponds to a point where the graph crosses or touches the x-axis. The multiplicity of each root can affect the behavior of the graph at those intercepts.
