Tag: measures and relations

Questions Related to measures and relations

Zero degree polynomial is considered as

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. variable

  2. coefficent

  3. constant

  4. zero

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Correct Option: C
Explanation:

Zero degree polynomial is considered as constant.
Example: $p(x)= k$
Therefore, $k$ is constant.
The constant term in an expression or equation has a fixed value and does not contain variables.

In ancient times, algebra is used to find

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. polynomial and negative numbers

  2. linear equations

  3. quadratic equations

  4. Both B and C

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Correct Option: D
Explanation:

In ancient times, algebra is used to find linear and quadratic equations.

al-Khwarizmi was a ______ scientist.

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. german

  2. russian

  3. persian

  4. italian

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Correct Option: C
Explanation:

al-Khwarizmi was a persian scientist.

Determine the constant term in the expression: $4x^2+5x^6-7x^2-7+2x^2-7x^6$.

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $4$

  2. $6$

  3. $-7$

  4. $7$

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Correct Option: C
Explanation:

The constant term in an expression or equation has a fixed value and does not contain variables.
So, $-7$ is the constant term in the expression, $4x^2+5x^6-7x^2-7+2x^2-7x^6$

______ used algebraic equations and notations in presenting problems and solutions in Arithmetica.

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Rene Descartes

  2. Brahmagupta

  3. Al-Khwarizmi

  4. Diophantus of Alexandria

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Correct Option: D
Explanation:

Diophantus of Alexandria used algebraic equations and notations in presenting problems and solutions in Arithmetica.

Find the constant for the given polynomial: $x^3+2x^2-1+x^5-5x(x^2)$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $1$

  2. $-1$

  3. $3$

  4. $2$

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Correct Option: B
Explanation:

Given polynomial is $x^3+2x^2-1+x^5-5x(x^2)$

The constant term in an expression or equation has a fixed value and does not contain variables.
So, here $-1$ is the constant term.

In a quadratic equation, $3x^2+x-3$, what is the constant term?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $3$

  2. $2$

  3. $-3$

  4. $1$

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Correct Option: C
Explanation:

A constant term is a value that do not have variable.
So, in this quadratic equation, −3−3 is a  constant term.

$abc=$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $Rrs$

  2. $4Rr\triangle$

  3. $4Rrs$

  4. $4Rr\triangle s$

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Correct Option: A

State True or False, if the following expression is polynomial in one variable
$4x^2-3x+7$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. True

  2. False

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Correct Option: A
Explanation:

Clearly, the expression $4x^2-3x+7$  is a polynomial in one variable x because there is only one variable x in the expression having the highest power 2, which is whole number.


State True or False, if he following expression is polynomial in one variable 

$y^2+\sqrt 2$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. True

  2. False

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Correct Option: A
Explanation:

Clearly, the expression $y^2+\sqrt 2$  is a polynomial in one variable y because there is only one variable y in the expression having the highest power 2, which is whole number.