Which of the following is not correct about a polynomial function?
Expert-Verified Answer
It is not true that every continuous function is differentiable. If we look in the case of f(x) = |x|, this function is always continuous, but it is not differentiable at x = 0.
(d) 2x−5x is also not a polynomial, since the exponents of variable in 1st term is a rational number.
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
Solution: Every polynomial is not a binomial as it can contain more than two terms. Therefore, the statement is false.
Expressions with negative exponents are not polynomials. For example, x-2 is not a polynomial. Polynomials do not have variables in their denominator. For example, 2/(x+2) is not a polynomial.
Example of a polynomial equation is: 2x2 + 3x + 1 = 0, where 2x2 + 3x + 1 is basically a polynomial expression which has been set equal to zero, to form a polynomial equation.
Variables of a polynomial must be in the numerator having exponent as the whole number only. In option B, $2{x^2} - 3\sqrt x + 1$ , $\sqrt x $ is not allowed in polynomials, the exponent must be a whole number, so this is also not a polynomial.
| Polynomial | Degree | Example |
|---|---|---|
| Linear Polynomial | 1 | P(x) = 3x+1 |
| Quadratic Polynomial | 2 | P(x) = 4x2+1x+1 |
| Cubic Polynomial | 3 | P(x) = 6x3+4x2+3x+1 |
| Quartic Polynomial | 4 | P(x) = 6x4+3x3+3x2+2x+1 |
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
polynomial. an algebraic expression that contains one or more monomials. monomial. a number, a variable, or a product of a number and variable that either does or does not contain exponents.
What is true and false in math?
In math, a certain statement is true if it's a correct statement, while it's considered false if it is incorrect. And if the truth of the statement depends on an unknown value, then the statement is open. Being able to determine whether statements are true, false, or open will help you in your math adventures.
Zero of a polynomial is always 0. v. A polynomial cannot have more than one zero.
Zero is used to represent false, and One is used to represent true. For interpretation, Zero is interpreted as false and anything non-zero is interpreted as true. To make life easier, C Programmers typically define the terms "true" and "false" to have values 1 and 0 respectively.
The four most common types of polynomials that are used in precalculus and algebra are zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function.
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.
A polynomial function consists of either zero or the sum of a finite number of non-zero terms, each of which is a product of a number, called the coefficient of the term, and a variable raised to a non-negative integer power.
A polynomial is a function in the form of ; where n is non- negative integers which is known as the degree of polynomial. from this definition, it is clear that only option (2) √2 x -1 , is polynomial.
Polynomials cannot contain division by a variable.
For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.
So, what cannot be a polynomial? An expression with a variable with negative or fractional exponents, division by a variable, or a variable inside a radical is not a polynomial.
Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms.
What is polynomial definition and example?
As the name suggests poly means many and nominal means terms, hence a polynomial means many terms. Polynomials are generally a sum or difference of variables and exponents. Each part of the polynomial is known as a “term”. Polynomial examples −−4x2+3x−7.
The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
Polynomials are mathematical expressions that have one variable with different exponents.
- Example: 21 is a polynomial. It has just one term, which is a constant.
- Example: x4 − 2x2 + x has three terms, but only one variable (x)
- Example: xy4 − 5x2z has two terms, and three variables (x, y and z)
A statement is true if what it asserts is the case, and it is false if what it asserts is not the case. For instance, the statement “The trains are always late” is only true if what it describes is the case, i.e., if it is actually the case that the trains are always late.
Answer: True. (California is not in Canada.) Example 2: It is not true that Canada is north of the U.S. Re-phrase: “not true” means incorrect or false. So, rephrased, the question is: It is incorrect that Canada is north of the U.S. Answer: False.
Simply put, if there is an equal sign “=” then its an equation. It can be true like saying apple = apple or it can be false, like apple = sloth.
Zero polynomial is a type of polynomial where the coefficients are zero and are usually written as 0 and have no terms. Zero polynomial is the only kind of polynomial that has an undefined degree. However, some mathematics define the degree of zero polynomial as negative usually written as -1 or -.
Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either.
The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.
What number is false?
The number 0 is considered to be false and all other numbers are considered to be true....
The answer to that is rather simple: a NULL means that there is no value, we're looking at a blank/empty cell, and 0 means the value itself is 0.
All non-zero values will be converted to true , and zero values to false . With negative numbers being non-zero, they are converted to true .
Answer. Polynomials don't have negative exponent.
The graphs of g and k are graphs of functions that are not polynomials. The graph of function g has a sharp corner. The graph of function k is not continuous.
" It can store and work on more than one line of program" is not true about a function.
The correct answer is (a) =.
A function is a block of c o d e that plays out a particular errand.