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The highest power of the variable that occurs in the polynomial is called the ___________ .

Option: 1

coefficient


Option: 2

degree


Option: 3

Leading term


Option: 4

None of these


Answers (1)

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Introduction -

The word Polynomial comes from the Greek poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

A polynomial can have:

  • Constants like (2, -4, 10, ½ etc) 

  • Variables (like x, y and z)

  • Exponents (like 2 in x2), but only 0, 1, 2, 3, ... etc are allowed

A polynomial p(x) is an algebraic expression that can be written in the form of 

p(x)=a_{n} x^{n}+\ldots+a_{2} x^{2}+a_{1} x+a_{0}

Each real number ai is called a coefficient. The number a0  that is not multiplied by a variable is called a constant. Each product  a_{i}x_{i} is a term of a polynomial. The highest power of the variable that occurs in the polynomial is called the degree of a polynomial. The leading term is the term with the highest power, and its coefficient is called the leading coefficient. 

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Posted by

Divya Prakash Singh

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