Types of Polynomials Based on Number of Terms

Q. Which of the following polynomials is a trinomial of degree 3?

1. $x^2+2x+3$
2. $x^3+4$
3. $x^3+5x+6$
4. $x^4+x^2+1$

Q. The polynomial $2x+6$ is a ________

1. Binomial
2. Monomial
3. Trinomial
4. Multinomial

Q.

State whether the given algebraic expressions are polynomials ? Justify.
$2-5\sqrt{x}$

Q. Which of the following is a binomial?

1. $4x^2+4x+2$
2. $4x^2+2x^2$
3. $x^4+x^3+4x^2+2$
4. $4x^2$

Q.

$(3a–b+3)–(a+b)$ is a binomial. State whether the statement given is True or False.

1. True
2. False

Q. Which of the following is a cubic monomial?

1. $4x^3+2x+6$
2. $x+5$
3. $9x^3$
4. $2x^2+2x+7$

Q.

Identify the following as a monomial, binomial or a trinomial.

$3x-7y$

Q.

State true or false :

$3xy$ is a trinomial

1. True
2. False

Q. Which of the following polynomials is/are a polynomial in two variables?

1. $3x$ + $y$
2. $3x^2$ + $2x$
3. $3xy$ + $y^2$
4. $y^2$ + $2y$ + 1

Q. Which type of polynomial is 7x + 2y - 6?

1. monomial
2. binomial
3. trinomial
4. quadratic

Q. Write the polynomial in x using the given information. [1 Mark each]
i. Monomial with degree 7
ii. Binomial with degree 35

Q.

$7x^3+2x^2+3x-5$ is a multimonial .

1. True
2. False

Q. Match the following polynomials with their zeros.

1. $-5$
2. $0$
3. No zero

Q. Mark the number of terms of the polynomial $3a-2a^2+3+4a^3$.

1. 4

Q. Match the following.

1. Monomial
2. Binomial
3. Trinomial
4. Cubic Polynomial

Q. Binomial is a polynomial with 3 terms.

1. True
2. False

Q. Which of the following is true for the polynomial obtained by the simplification of (x + 1)(x + 3)?

1. It is a trinomial.
2. The degree of the polynomial is 3.
3. It is a binomial.
4. None of these

Q. If the value of the polynomial x² $-$ mx + 7 is 35 when x = 2 then find m.

Q.

State the number of terms in the given polynomial and identify the monomials, binomials or trinomials: $3x+2y-z$

Q. Which type of polynomial is 2x + y - 6?

1. monomial
2. binomial
3. trinomial
4. quadratic

Q. Which of the following is true for the polynomial obtained by the simplification of (x + 1)(x + 3)?

1. None of these
2. It is a binomial.
3. It is a trinomial.
4. The degree of the polynomial is 3.

Q. ‘4x’ is a constant polynomial.

1. True
2. False

Q.

Match following polynomial expressions based on their number of terms.

1. Binomial
2. Trinomial
3. Monomial

Q. Match the following with respect to the polynomial $4x-3y^2+7$.

Q. Match the following with respect to the polynomial $4x-3y^2+7$.