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A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
What are comparisons between a cubic and quadratic function?
They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3. A cubic MUST have a real root, a quadratic need not.
In a cubic polynomial 2xxx-5xx-14x 8 find the sum of the zeros?
2x^3 - 5x^2 - 14x + 8 Let P(x) represents the cubic polynomial. We can find the sum of x-values which make P(x) = 0, (the sum of the roots of the equation) P(x) = 2x^3 - 5x^2 - 14x + 8 P(x) = 0 2x^3 - 5x^2 - 14x + 8 = 0 Since the degree of this polynomial is odd, then the sum of the roots is -[a(n - 1)/an], where a(n-1) is -5 and an is 2. So we have, -[a(n - 1)/an] = -(-5/2) = 5/2 Thus the sum of the roots is 5/2.
What is the pattern in 1 6 3 8 5 10?
One possible answer, based on polynomial functions is Un = (8n5 - 140n4 + 920n3 - 2800n2 + 3887n - 1860)/15 for n = 1, 2, 3, ...
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
What are comparisons between a cubic and quadratic function?
They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3. A cubic MUST have a real root, a quadratic need not.
What is the polynomial and degree of 7x3 6x2 -2?
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
What are two polynomial functions whose quotient will have the same degree as the divisor?
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
What is a cubic polynomial function in standard form with zeros 1 -2 and 2?
It is x^3 - x^2 - 4x + 4 = 0
Is 18 times y to the cube plus 2 times y to the square plus 1 a polynomial if so what kind?
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
What is a cubic trinomial?
A cubic trinomial is a polynomial expression that consists of three terms and has a degree of three. It typically takes the form ( ax^3 + bx^2 + cx ), where ( a ), ( b ), and ( c ) are coefficients, and ( a ) is non-zero. The expression can represent various algebraic relationships and is often used in polynomial equations and functions.
Suppose a data set follows the path of a polynomial with two turning points. Which type of polynomial function is most likely to fit fit the data set?
A polynomial with two turning points is most likely a cubic polynomial function, which is of the form ( f(x) = ax^3 + bx^2 + cx + d ). Cubic functions can have up to two local extrema (turning points) and can model the behavior of the data set effectively. Quadratic functions only have one turning point, while quartic functions can have more than two, making them less suitable for this specific scenario.
What is the name of graph of a cubic polynomial?
The graph of a cubic polynomial is called a cubic curve. It typically has an "S" shape and can have one, two, or three real roots, depending on the polynomial's coefficients. The general form of a cubic polynomial is ( f(x) = ax^3 + bx^2 + cx + d ), where ( a \neq 0 ). The behavior of the graph includes turning points and can exhibit inflection points where the curvature changes.
What is a cubic polynomial of this degree?
A cubic polynomial is a polynomial of degree three, which means its highest exponent is three. It takes the general form ( ax^3 + bx^2 + cx + d ), where ( a, b, c, ) and ( d ) are constants, and ( a \neq 0 ). The graph of a cubic polynomial can have one or two inflection points and can exhibit a variety of shapes, including one or two turning points.
What is the resulting degree of a polynomial when multiplying a cubic binomial and a quadratic trinomial?
When multiplying a cubic binomial (degree 3) by a quadratic trinomial (degree 2), the resulting degree of the polynomial is the sum of the degrees of the two polynomials. Therefore, the resulting degree is 3 + 2 = 5.
What is an example of cubic binomial?
An example of a cubic binomial is ( (x + 2)(x^2 - 3x + 4) ). When expanded, this expression produces a polynomial of degree three, as it involves a linear term multiplied by a quadratic term. The result is a cubic polynomial, showcasing the characteristics of a binomial (two terms) multiplied by a trinomial (three terms).
