Standard Form For a Polynomial


 
 
Concept Explanation
 

Standard Form For a Polynomial

A polynomial is said to in standard form when the term are arranged in descending order of their degree with zero as the coefficient of the missing term.

For Example:

large -3x^2+14x+2

large 9y^3-2y^2+16y+2

Illustration: Express the polynomial in standard form

3x^5+4x^4+2x^3-6x^2

Solution: We know that in standard form the term are arranged in descending order of their degree with zero as the coefficient of the missing term. In the expression the terms with exponent 1 and the constant term are missing so we will write those terms with 0 as their coefficient. Hence

large 3x^5+4x^4+2x^3-6x^2+0x+0

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Which of the following expression represent the standard form of polynomial large 4x^3-4x^3+2x^2-10+2x  ?

Right Option : A
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Explanation
Question : 2

Which of the following expression represents the standard form of the polynomial large 4x^3-2x^2+2x^2+8x  ?

Right Option : B
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Explanation
Question : 3

What is the coefficient of large x^3 in the polynomial large 19x^2-sqrt{17}x^3+13x+5  ?

Right Option : C
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Explanation
 
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