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

How many terms are there in the polynomial   large 18x^3-14x^2-18x^3+22x^4-12  ?

Right Option : A
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Explanation
Question : 2

Which of the following expression represents the standard form of the polynomial large 17x^3-6x^2+5x^3+20x^2+x ?

Right Option : A
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Explanation
Question : 3

Which of the following is the standard form of the quadratic equation large 3x+4x^2=-5x+2  ?

Right Option : B
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Explanation
 
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