8. What makes polynomials different from algebraic expression?
9. Can we consider polynomials to be algebraic expression? Why? Why not?
10. Have you considered representing the unknown by a variable? Explain your answer.
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8. What makes polynomials different from algebraic expression?
9. Can we consider polynomials to be algebraic expression? Why? Why not?
10. Have you considered representing the unknown by a variable? Explain your answer.
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Answer:
8.)The difference is polynomials include only variables and coefficients with mathematical operations(+, -, ×) but algebraic expressions include irrational numbers in the powers as well
9.)Polynomials are algebraic expressions that are created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation.
10.)An unknown is a variable in an equation which has to be solved for. An indeterminate is a symbol, commonly called variable, that appears in a polynomial or a formal power series
Answer:
8. An algebraic expression, in which variable(s) does (do) not occur in the denominator, exponents of variable(s) are whole numbers and numerical coefficients of various terms are real numbers, is called a polynomial. (iii) Numerical coefficient of each term is a real number. x x are not polynomials.
9. Yes, Polynomials are algebraic expressions that contain any number of terms combined by using addition or subtraction. A term is a number, a variable, or a product of a number and one or more variables with exponents.
10. Variables are letters or other symbols used to represent unknown numbers in algebraic equations and expressions. We can say: A variable is a letter or symbol that represents a quantity that can vary. For example x, y or a or whatever you choose. A variable can represent an unknown number in an equation.
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