Polynomial

Q. Why a polynomial mustn't have a negative power or exponent?

Q. Write the given information as an equation and find its solution.
(1) Haraba owns some sheep. After selling 34 of them in the market, he still has 176 sheep. How many sheep did Haraba have at first?

(2) Sakshi prepared some jam at home and filled it in bottles. After giving away 7 of the bottles to her friends, she still has 12 for herself. How many bottles had she made in all? If she filled 250g of jam in each bottle, what was the total weight of the jam she made?

(3) Archana bought some kilograms of wheat. She requires 12kg per month and she got enough wheat milled for 3 months. After that, she had 14 kg left. How much wheat had Archana bought altogether?

Q. Question 2

In a polynomial, the exponents of the variables are always
a) integers
b) positive integers
c) non-negative integers
d) non-positive integers

Q.

Every monomial is a polynomial.

1. True

2. False

Q.

Which of the following is/are polynomials?

1. $4x{z}^2$

2. $4x{z}^2+4xy$

3. $2xy$

4. All of the above are polynomials

Q. Question 42

In the question given below, fill in the blank to make the statement true:

The product of two polynomials is a ___

Q. The test scores of students are plotted in the given stem-and-leaf plot. How many students have scored test scores greater than 85?

1. 4
2. 3
3. 7
4. 5

Q.

Statement A: Every monomial is a polynomial.

Statement B: Not every polynomial is a monomial.

1. Statement A is true, but not statement B.

2. Statement B is true, but not statement A.

3. Both statement A and statement B are true.

4. Both statement A and statement B are false.

Q.

Classify the following algebraic expression into monomial, binomial or trinomial

$1+x+x^2$

Q.

Which of the following expressions are polynomials?
(i) $x^2+4$
(ii) $4-x^{-1}$
(iii) $2x^2-\frac{2}{x}$

1. ii, iii

2. iii

3. i

4. i, ii, iii

Q.

Identify monomials, binomials and trinomials from the following algebraic expressions :

$5x_{}$

Q.

Which of the following expressions are polynomials?
(i) $x^2+4$
(ii) $4-x^{-1}$
(iii) $2x^2-\frac{2}{x}$

1. i, ii, iii

2. i

3. ii, iii

4. iii

Q.

Identify the expression as monomial, binomial or trinomial :

$-2x+5$

Q.

What is forming square

Q. Why are there conditions on polynomials?

Q.

In below problems, find the equation which satisfies the condition of a simple equation. [3 MARKS]

a) $6x+\frac{4x}{3}+4$

b) $2t+34=42$.

c) $2x^2+4x+2=0$

Q.

Choose the appropriate one among the options with respect to the algebraic expression $35xy+45x+5y^2+25xyz$.

1. Monomial

2. Binomial

3. Trinomial

4. Polynomial

Q.

An algebraic expression that is either a monomial or a sum of monomials is called a __________.

Q.

Identify the expression as monomial, binomial or trinomial :

$a{x}^3+b{x}^2+cx$

Q.

Kevin saves 1/3 of his salary. He spends 1/2 of it and gives the remaining for charity. Find the fraction he gives for charity? Mention the value you depict from this.

Q.

$3x{y}^2-5y^2-5x-15$ is an example of trinomial.

1. True

2. False

Q.

$2x^2-\frac{2}{x}$ is a polynomial.

1. True

2. False

Q. Which of the following is not a trinomial with $5p,3q$, and $7$ as terms?

1. $5p–3q+7$
2. $5p+3q–7$
3. $5p–3q–7$
4. $5p\times 3q\times 7$

Q. The test scores of students are plotted in the given stem-and-leaf plot. How many students have scored test scores greater than 85?

1. 4
2. 3
3. 5
4. 7

Q. If equations with degrees which are not whole numbers, are not polynomials, then what can they be considered?

Q.

A polynomial that contains only one term is called a __.

Q.

Classify the following algebraic expression into monomial, binomial or trinomial

$z^2$

Q. ${83}^{27.3}÷{83}^{1.4}\times {83}^{46.8}={83}^{31.9+x}$

1. None of these
2. $39.1$
3. $41.9$
4. $64.1$
5. $40.8$