Tag: maths

Questions Related to maths

$-6$ is the ______ in $q(y)=y^3-3y^2-6+y$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. constant term

  2. coefficient of $y$

  3. variable

  4. degree of the polynomial

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Correct Option: A
Explanation:

The constant term in an expression or equation has a fixed value and does not contain variables.
So, $-6$ is the constant term in $q(y)=y^3-3y^2-6+y$

Who used the symbol heap for the unknown in algebra?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Spanish

  2. Egyptians

  3. Babylonian

  4. German

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Correct Option: B
Explanation:

Egyptians used the symbol heap for the unknown in algebra.

What is the value of the constant term in the expression, $23x^3+12x^2-6x-12$?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $12$

  2. $6$

  3. $-6$

  4. $-12$

Show answer
Correct Option: D
Explanation:

The constant term in an expression or equation has a fixed value and does not contain variables.
So, $-12$ is the constant term in the expression, $23x^3+12x^2-6x-12$.

How many degree of polynomials are there in constant term?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. one

  2. zero

  3. two

  4. three

Show answer
Correct Option: B
Explanation:

Constant term has zero degree of polynomial.
Because the constant term in an expression or equation has a fixed value and does not contain variables.
Example: $p(x)=k$
Where $k$ is a constant.

The constant term of $0.4x^{7} - 75y^{2} - 0.75$ is ___

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $0.4$

  2. $0.75$

  3. $-0.75$

  4. $-75$

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Correct Option: C
Explanation:

Given equation is $0.4x^{7}-75y^{2}-075$

A constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables.
Then constant term of equation $0.4x^{7}-75y^{2}-075$ is $- 0.75$

Which one is the constant term of $4x^{3} - 3x^{2} + 2x - 5$.

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $4$

  2. $-5$

  3. $2$

  4. $-3$

Show answer
Correct Option: B
Explanation:

General equation is $ax^3+bx^2+cx+d$ 

where d is constant term 

so in given equation, 

$4x^{3} - 3x^{2} + 2x - 5$

Constant term is $-5$.

Classify the following polynomial as polynomial in one variable, two variables etc.

$x^{2}+x+1$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Polynomial in one variable

  2. Polynomial in two variables

  3. Invalid question

  4. None of the above

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Correct Option: A
Explanation:

Polynomial has only 1 variable $x$ in the equation.

Classify the following polynomial as polynomial in one variable, two variables etc.
$x^{2}-2xy+y^{2}+1$
maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. One Variable

  2. Two Variables

  3. Three Variables

  4. Four Variables

Show answer
Correct Option: B
Explanation:

There are two variables in the given equation, i.e. $x$ and $y$ while $1$ is a constant.

Classify the following polynomial as polynomial in one variable, two variables etc.

$y^{3}-5y$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Polynomial in one variable

  2. Polynomial in two variables

  3. Polynomial in three variables

  4. Polynomial in four variables

Show answer
Correct Option: A
Explanation:

Polynomial has only 1 variable $y$ in the equation.

Classify the following polynomial as a polynomial in one variable, two variables, etc.

$xy + yz + zx$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. One Variable

  2. Two Variables

  3. Three Variables

  4. Four Variables

Show answer
Correct Option: C
Explanation:

The given polynomial has three variables i.e.  $x, y$ and $z$ .