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7 August, 12:19

Standard form polynomials

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  1. 7 August, 12:22
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    Standard form of Polynomials is given below.

    Step-by-step explanation:

    1. A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc. Correct, standard form means that the terms are ordered from biggest exponent to lowest exponent. The leading coefficient is the coefficient of the first term in a polynomial in standard form. For example, 3x^4 + x^3 - 2x^2 + 7x.

    2. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial.

    3. Polynomials with more than 3 terms can be called simply polynomials. They're all polynomials. Otherwise, you can use the appropriate prefix (i. e. quadrinomial = polynomial with 4 terms). As for monomials being considered polynomials, monomials are just a special case of polynomials in which there is only one term. Polynomials can be long strings of terms, or in other words, monomials.
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