Tag: maths

Questions Related to maths

Find the constant in the polynomial $x + 5$

  1. $x$

  2. $5$

  3. $2$

  4. All of the above


Correct Option: B
Explanation:

The constant in the polynomial $x + 5$ is $5$.

Identify the number of constants in the expression $5x^3-8xy$.

  1. $0$

  2. $1$

  3. $2$

  4. $5$


Correct Option: A
Explanation:

Both the terms in the given expression contain atleast one variable, $x$ and $xy$..

Hence, there is no constant term in the given expression.

How many variables are there in the algebraic expression $ax^2+bxy+cy^2$  where $a, b, c$ are constants ?

  1. $1$

  2. $2$

  3. $3$

  4. $5$


Correct Option: B
Explanation:

The variables used are $x$ and $y$.

Which of the following is correct?

  1. Constant can vary in a polynomial

  2. Constant may or may not vary in polynomial

  3. Constant cannot change in a polynomial

  4. All of the above


Correct Option: C
Explanation:

For a particular polynomial, its constant cannot change otherwise polynomial will change.

Find the constant in the polynomial $y^{3} + y^{2} + y$

  1. $y^{3}$

  2. $y^{2}$

  3. $y$

  4. None of the above


Correct Option: D
Explanation:

The terms $y^{3}, y^{2}$ and $y$ are not constants. 

Therefore, there are no constants in the given polynomial. 

The variable in the polynomial $z^3+2z^2+5z+1$ is

  1. $1$

  2. $2$

  3. $z$

  4. All of the above


Correct Option: C
Explanation:

The value of the polynomial changes as the variable changes. 

Hence, $z$ is the variable in the polynomial.

The variable in the polynomial $x^2+3x+5$ is:

  1. $x$

  2. $3$

  3. $5$

  4. All of the above


Correct Option: A
Explanation:

The value of the polynomial changes as the variable changes. 

Hence, $x$ is the variable in the polynomial.

Who is the father of algebra?

  1. Rene Descartes

  2. Brahmagupta

  3. Al-Khwarizmi

  4. Albert Einstein


Correct Option: C
Explanation:

al-Khwarizmi is the father of Algebra.

An important development in algebra in the $16^{th}$ century was the

  1. introduction of unknown symbols

  2. arithmetic mean

  3. introduction to exponents

  4. introduction to powers


Correct Option: A
Explanation:

An important development in algebra in the $16^{th}$ century was the introduction to unknown symbols.

What is the literal meaning of algebra?

  1. science of restoration

  2. unknown quantities

  3. powers and equations

  4. re-union of broken parts


Correct Option: D
Explanation:

The word Algebra literally means the re-union of broken parts.