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What are some similarities between rational functions and polynomial function?
Rational functions and polynomial functions both involve expressions made up of variables raised to non-negative integer powers. They can have similar shapes and behaviors, particularly in their graphs, where they may exhibit similar end behavior as the degree of the polynomial increases. Additionally, both types of functions can be manipulated algebraically using addition, subtraction, multiplication, and division, although rational functions can include asymptotes due to division by zero, which polynomial functions do not have. Both functions can also be analyzed using techniques such as factoring and finding roots.
Why do math problems have two answers?
Assuming that you are reffering to something like this: (x - h)(x - k) = 0 x = h, x = k This is the fundamental theorem of algebra which states that is given a polynomial (multiple terms raised to positive powers ex) x^3 + 2x + 1), then the number of solutions to that polynomial is equal to the degree (or highest exponent) in the polynomial. The factorization in the beginning was dealing with a quadratic equation - when foiled out it equals x^2 - hx - kx + hk. The highest exponent in the quadratic is two and therefore there are two solutions. You can even think back to the factorization again: if x = h then the whole equation is 0, if x = k then the whole equation is 0.
Where was Neil Armstrong raised?
he was raised in Ohio
Who raised Natsu in the Fairy Tail anime?
The fire dragon Igneel raised Natsu.
Type of animal raised on nebraska ranches?
There are a wide variety of animals that are raised on ranches in Nebraska. These include cows, goats, horses, and rabbits.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
Is a polynomial of degree 0 is a constant term?
Yes, a polynomial of degree 0 is a constant term. In mathematical terms, a polynomial is defined as a sum of terms consisting of a variable raised to a non-negative integer power multiplied by coefficients. Since a degree 0 polynomial has no variable component, it is simply a constant value.
What is the degree of a polynomial having one term and single variable?
It depends on the power to which the single variable is raised in that one term.
What is a polynomial term?
A polynomial term is a product of a number and one or more variables raised to various powers. The powers must be non-negative integers.
Is x raised to a negative number a polynomial?
you are so messed up....... a polynomial is just a expression consisting of several terms. like abc or ab or 2a or 5a............so x to a negative number is not a polynomial because x is only one term
Terms that contain the same variable with corresponding variables raised to the same power?
Terms that contain the same variable is called "like terms".
What is polynomia?
A polynomial is a math expression that has a sum of terms, each of the terms include a variable or variables multiplied by a coefficient and raised to a power.
What is the difference be a polynomial function and an exponential function?
In a polynomial function, the variable x is raised to some integer power. f(x) = 5x³ + 8x⁵ g(x) = (x + 5)² In an exponential function, some real number is raised to the power of variable x or some function of x f(x) = 5ˣ g(x) = eˣ⁺²
What is like terms in polynomial?
They are terms in which a variable is raised to the same power (index) in both terms. So x2y and -27x2y are like terms but not xy2.
Is a polynomial of degree zero is a constant term true or false?
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.
Like terms have the same variable but may be raised to different powers?
No. Like terms should contain the same variable or variables, raised to the same powers. Like terms are those that can be combined by addition or subtraction.
