Addition and subtraction in polynomials

Concept Video

Presentation by Jahnavi and Vaishnavi

Any Time Online Quiz

1. **What is the sum of the polynomials 3x^2 - 4x + 5 and 2x^2 + x - 3?**
a) 5x^2 + x + 2
b) 5x^2 - 3x + 2
c) 5x^2 - 3x + 8
d) 6x^2 - 3x + 2

2. **Find the difference between 2x^3 + 3x^2 - x + 1 and x^3 - x^2 + 2x - 4.**
a) x^3 + 4x^2 - 3x + 5
b) x^3 + 4x^2 - 3x - 3
c) 2x^3 + 4x^2 - 3x + 5
d) x^3 + 2x^2 - 3x + 5

3. **If A(x) = x^2 - 4x + 3 and B(x) = 2x^2 + 5x - 1, what is A(x) + B(x)?**
a) 3x^2 + x + 2
b) 3x^2 - x + 2
c) 3x^2 + 9x - 4
d) 3x^2 - 9x + 2

4. **Find the result of subtracting 4x^2 - 3x + 2 from 3x^2 - 2x + 1.**
a) x^2 + x - 1
b) -x^2 + x - 1
c) -x^2 + 5x - 3
d) x^2 + 5x - 3

5. **Calculate the sum of 7x^3 - 4x^2 + x - 3 and 2x^3 + 3x^2 - 2x + 5.**
a) 9x^3 + x^2 - x + 2
b) 9x^3 - x^2 - x + 2
c) 9x^3 - x^2 + x + 2
d) 9x^3 - x^2 - x + 8

6. **If P(x) = 4x - 5 and Q(x) = 2x + 7, what is P(x) - Q(x)?**
a) 2x - 12
b) 6x + 2
c) 2x + 12
d) 6x - 2

7. **Calculate the sum of 2x^2 - 3x + 4 and 3x^2 - x - 4.**
a) 5x^2 - 4x
b) 5x^2 - 4x + 4
c) 5x^2 - 2x
d) 5x^2 - 4x - 8

8. **What is the result of 3x^3 - 2x^2 + x - 5 minus x^3 + x^2 - 2x + 3?**
a) 2x^3 - 3x^2 + 3x - 8
b) 2x^3 + 3x^2 + 3x - 8
c) 2x^3 - 3x^2 + 3x - 2
d) 2x^3 + 3x^2 - 3x - 8

9. **Find the sum of x^2 + 2x - 4 and -x^2 + 3x + 6.**
a) 2x
b) 5x + 2
c) 5x - 2
d) 5x + 10

10. **What is the result of subtracting 2x^2 - x + 3 from 3x^2 + 2x - 1?**
a) x^2 + 3x - 4
b) 5x^2 + 3x - 4
c) x^2 + 3x - 2
d) x^2 + 3x + 2

11. **Find the sum of 4x^2 - 2x + 1 and x^2 + x - 3.**
a) 5x^2 - x - 2
b) 5x^2 - x + 4
c) 5x^2 - 3x - 2
d) 3x^2 - x - 2

12. **Calculate the difference between 6x^3 - 4x^2 + x - 3 and 2x^3 + 3x^2 - 2x + 5.**
a) 4x^3 - 7x^2 + 3x - 8
b) 4x^3 - 7x^2 - 3x - 8
c) 4x^3 - 7x^2 + 3x + 8
d) 4x^3 + 7x^2 - 3x - 8

13. **If A(x) = 2x^2 - 4x + 5 and B(x) = -x^2 + 2x + 3, what is A(x) - B(x)?**
a) 3x^2 - 2x + 2
b) 3x^2 - 6x + 2
c) 3x^2 - 6x + 8
d) 3x^2 - 2x + 8

14. **What is the sum of the polynomials 5x^3 - 4x^2 + 3x - 1 and 2x^3 + x^2 - x + 2?**
a) 7x^3 - 3x^2 + 2x + 1
b) 7x^3 + 3x^2   + 2x + 1
c) 7x^3 - 3x^2 + 2x + 3
d) 3x^3 - 5x^2 + 2x + 1

15. **Find the result of subtracting 4x^2 - 3x + 2 from 5x^3 - 4x^2 + 3x - 1.**
a) 5x^3 - x^2 + 6x - 3
b) 5x^3 - x^2 - 6x - 3
c) 5x^3 + x^2 + 6x - 3
d) 5x^3 - 9x^2 + 6x - 3

16. **Calculate the sum of 3x^2 - 2x + 4 and x^2 + 2x - 3.**
a) 4x^2
b) 4x^2 - 1
c) 4x^2 + 5
d) 4x^2 + 1

17. **What is the result of 7x^3 - 2x^2 + x - 5 minus 3x^3 - x^2 + 2x - 1?**
a) 4x^3 - x^2 - x - 6
b) 4x^3 - x^2 - x - 4
c) 4x^3 - x^2 - x + 4
d) 10x^3 - 3x^2 - x - 6

18. **Find the sum of 2x^3 + 3x^2 - x + 1 and 4x^3 - x^2 + 2x - 4.**
a) 6x^3 + 2x^2 + x - 3
b) 6x^3 + 2x^2 + x + 3
c) 6x^3 + 4x^2 + x - 3
d) 6x^3 + 2x^2 - x + 3

19. **What is the result of subtracting 2x^2 - x + 3 from 5x^3 + 3x^2 - 2x - 1?**
a) 5x^3 + x^2 - 3x - 4
b) 5x^3 + x^2 + x - 4
c) 3x^3 + x^2 - x - 4
d) 5x^3 + 5x^2 - x - 4

20. **Calculate the sum of 6x^2 - 4x + 3 and 3x^2 + 5x - 6.**
a) 9x^2 + x - 3
b) 9x^2 + x + 3
c) 9x^2 + x - 9
d) 9x^2 + x - 2

A polynomial is a mathematical expression consisting of variables, coefficients, and mathematical operations such as addition, subtraction, and multiplication. It is composed of terms, where each term includes a variable raised to a non-negative integer exponent, multiplied by a coefficient. Polynomials can have one or multiple variables and can be of different degrees, representing various mathematical functions. They are widely used in different areas of mathematics, physics, engineering, and computer science for solving equations, modeling real-world phenomena, and analyzing data.

1. b) 5x^2 - 3x + 2
2. c) 2x^3 + 4x^2 - 3x + 5
3. c) 3x^2 + 9x - 4
4. b) -x^2 + x - 1
5. b) 9x^3 - x^2 - x + 2
6. a) 2x - 12
7. b) 5x^2 - 4x + 4
8. a) 2x^3 - 3x^2 + 3x - 8
9. c) 5x + 2
10. a) x^2 + 3x - 4
11. a) 5x^2 - x - 2
12. a) 4x^3 - 7x^2 + 3x - 8
13. c) 3x^2 - 6x + 8
14. a) 7x^3 - 3x^2 + 2x + 1
15. a) 5x^3 - x^2 + 6x - 3
16. d) 4x^2 + 1
17. b) 4x^3 - x^2 - x - 4
18. a) 6x^3 + 2x^2 + x - 3
19. a) 5x^3 + x^2 - 3x - 4
20. b) 9x^2 + x + 3