Polynomials

Q.

Write the degree of the polynomial: $x^{3}y+x{y}^2-3xy+4.$

Q.

How Do You Classify Expressions?

Q. If $5^6\times 5^{2x}=5^{10}$, then find x.

Q.

Question 33

State whether the statement given is True or False.

$1+\frac{x}{2}+x^3$ is a polynomial.

Q. An algebraic expression which contains two unlike terms is known as

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

Q.

Distance between Bangalore and Chennai is $(4x^2+x+3)$. There are two routes to travel from Bangalore to Chennai as shown in the figure.

What is the difference between the distances of the two routes?

1. 65

2. 76

3. 66

4. 64

Q. The degree of the expression $x^2+2x+5$ is

1. 1
2. 2
3. 3

Q. The difference between an algebraic expression and a polynomial is:

1. The exponents of polynomial terms are whole numbers while that of algebraic expression are not.
2. The exponents of algebraic expression terms are whole numbers while that of polynomial are not.
3. None of the above
4. The constant term is absent in algebraic expression while it is present in polynomial.

Q.

Classify into monomials, binomials and trinomials.

$1+x+x^2$

Q.

Match the following table according to the number of unlike terms in an algebraic expression to the appropriate prefix..

$\begin{array}{cc}a.3terms& 1.Mono\\ b.1term& 2.Bi\\ c.8terms& 3.Tri\\ d.2terms& 4.Poly\end{array}$

1. a – 1, b – 2, c – 3, d – 4

2. a – 3, b – 1, c – 2, d – 4

3. a – 2, b – 1, c – 4, d – 3

4. a – 3, b – 1, c – 4, d – 2

Q. What is the degree of $x^3+2x-2?$

1. 1
2. 4
3. 2
4. 3

Q.

State true or false.
For an expression to be divisible by another algebraic expression, the divisor should be a factor of the dividend.

1. False

2. True

Q.

Classify the following into monomial, binomial or trinomial.

$-5x^2$

Q.

Classify the following into monomial, binomial or trinomial.

$6ab$

Q.

Identify monomials, binomials, trinomials and polynomials from the following.

$2ab$

Q.

Classify the following into monomial, binomial or trinomial.

$a^2+ab+b^2$

Q.

Classify into monomials, binomials and trinomials.

$ab-a-b$

Q.

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Sum of the products of $a$ and $b,b$ and $c$ and $c$ and $a$.

Q. A trinomial has 3 unlike terms.

1. True
2. False

Q. if a =-2, b=-3 , c=4 find 5 a^2b^3c+3a^3b^2c^2-(-2)^2(-3)^2*4*4

Q.

How do you tell if a function is quadratic or linear $?$

Q.

Classify into monomials, binomials and trinomials.

$z^2+z$

Q.

Find the value of expression, $x^3-5x-2y-3z$ when $x=-2$, $y=-3$, and $z=4$.

1. $-2$
2. $-4$
3. $0$
4. $20$

Q.

State whether the given expression is monomial, binomial or trinomial.

$klm$

Q.

Classify the following into monomial, binomial or trinomial.

$a^2+2b^2$

Q. How many unlike terms does a trinomial have?

1. 1
2. 3
3. 4
4. 2

Q.

Classify into monomials, binomials and trinomials.

$y^2$

Q. Factorise:

(4) n² − 2mn + m²

Q. Find the factors of the following expressions:

(4) y − 1 + y³ − y²

Q. If $5^6\times 5^{2x}=5^{10}$, then find x.

1. 8
2. 7
3. 6
4. 2