Give any 10 examples of polynomials in one variable .
Answers
Answer:
An example of a polynomial with one variable is x2+x-12. In this example, there are three terms: x2, x and -12.
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Degree of a Polynomial.
Polynomial Degree Example
Constant or Zero Polynomial 0 6
Linear Polynomial 1 3x+1
Quadratic Polynomial 2 4x2+1x+1
Cubic Polynomial 3 6x3+4x3+3x+1
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Answer:
Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial.
x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.
5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.
(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.
5x-2 +1 Not a polynomial because a term has a negative exponent
3x½ +2 Not a polynomial because a term has a fraction exponent
(5x +1) ÷ (3x) Not a polynomial because of the division
(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation)
Step-by-step explanation:
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