Polynomials

Q.

The coefficient of the variable 'x' in the polynomial 5x + 1 is 5.

1. False

2. True

Q. Given below is a question followed by three statements. You have to study the question and the statements and decide which of the statements is/are necessary to answer the question.
What is Arun's present age ?
I. Five years ago, Arun's age was double that of his son's age at that time.
II. Present ages of Arun and his son are in the ratio of $11:6$ respectively.
III. Five years hence, the respective ratio of Arun's age and his son's age will become $12:7$.

1. Only I and III
   
2. Only II and III
   
3. Any two of the three
4. Only I and II
   

Q.

What is the coefficient of $x^2$ in the polynomial $5x^3-4x^2+3x+10$ ?

1. -4

2. 10

3. 3

4. 5

Q.

If $x^g$+$\frac{1}{x^a}$ is a polynomial in one variable and if it is given that g = a, for what value of 'a' is this a polynomial?

___

Q. Given n is an integer, then every integral multiple of 3 can be represented by the expression___.

Q.

Select the values which the coefficients and exponents of a polynomial can take? (Options are given by comma separating them in the form - (coefficient, exponent))

1. No
2. 4, -2
3. 0, 0
4. -5, -5

Q.

If $x^g+\frac{1}{x^a}$ is a polynomial, what could be the value of $a$?

1. only 1

2. any integer

3. any positive integer

4. any negative integer

Q.

Which of the following given sequences can be represented as a polynomial in one variable?

1. x - a

2. 2x - b

3. 3x - c

4. bx - 2

Q. A term of any polynomial is a product of variables and a ___.

1. another variable
2. None of the above

3. constant

4. zero

Q.

What is the degree of the expression $(3x+4)(2x+3)$?

1. 1

2. 2

3. 4

4. 3