1.
Polynomials appear in a wide variety of areas of .....
Correct Answer
A. Mathematics
Explanation
Polynomials appear in a wide variety of areas of mathematics, such as algebra, calculus, and number theory. They are used to represent and solve equations, model real-world phenomena, and analyze mathematical functions. Polynomials are a fundamental concept in mathematics and play a crucial role in various branches of the subject.
2.
Polynomials also appears in a wide variety of area of ...
Correct Answer
B. Science
Explanation
Polynomials appear in a wide variety of areas in science. They are used to model and solve problems in physics, chemistry, biology, and engineering. In physics, polynomials are used to describe the motion of objects, the behavior of waves, and the forces acting on particles. In chemistry, they are used to calculate reaction rates and equilibrium constants. In biology, polynomials are used to model population growth and enzyme kinetics. In engineering, they are used in electrical circuit analysis, control systems, and signal processing. Therefore, the correct answer is science.
3.
Since the .... century, similar formulas (using cube roots in addition to square roots), but much more complicated are known for equations of degree three and four (see cubic equation and quartic equation).
Correct Answer
A. 16th
4.
In ...., Niels Henrik Abel proved the striking result that there are equations of degree 5 whose solutions cannot be expressed by a (finite) formula, involving only arithmetic operations and radicals
Correct Answer
D. 1824
Explanation
In 1824, Niels Henrik Abel proved the result that there are equations of degree 5 whose solutions cannot be expressed by a finite formula involving only arithmetic operations and radicals. This means that there are certain equations of degree 5 that do not have a simple algebraic solution, and their solutions cannot be expressed using a combination of addition, subtraction, multiplication, division, and taking roots. This was a significant discovery in mathematics, highlighting the limitations of algebraic methods in solving certain equations.
5.
In ...., Évariste Galois proved that most equations of degree higher than four cannot be solved by radicals.
Correct Answer
A. 1830
Explanation
In 1830, Évariste Galois proved that most equations of degree higher than four cannot be solved by radicals. This means that there is no general formula to find the roots of these equations using only the basic operations of addition, subtraction, multiplication, division, and taking roots. Galois' work was groundbreaking and laid the foundation for the development of abstract algebra and Galois theory.
6.
A real polynomial is a polynomial with real ....
Correct Answer
B. Coefficient
Explanation
A real polynomial is a polynomial with real coefficients. The coefficients in a polynomial are the numbers multiplied by each variable term. Real coefficients indicate that all the numbers in the polynomial are real numbers, meaning they are not complex or imaginary. Therefore, the correct answer is "coefficient".
7.
The word polynomial was first used in the ..... century
Correct Answer
A. 17th
Explanation
The word "polynomial" was first used in the 17th century.
8.
Polynomial is a topic in which course?
Correct Answer
A. Maths
Explanation
Polynomial is a topic in mathematics. It involves the study of algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, multiplication, and exponentiation. This topic is commonly taught in math courses as part of algebra or calculus.
9.
Mathematics is usually studied in ....
Correct Answer
D. School
Explanation
Mathematics is usually studied in school because it is a fundamental subject that provides the necessary skills and knowledge for understanding and solving mathematical problems. Schools have dedicated math classes and qualified teachers who can guide students in learning various mathematical concepts and techniques. Additionally, schools provide a structured learning environment with resources such as textbooks, worksheets, and interactive tools that facilitate the learning and practice of mathematics.
10.
Who is not a mathematician here?
Correct Answer
A. Will Smith
Explanation
Will Smith is not a mathematician because he is a well-known actor and rapper, not a mathematician. On the other hand, Pythagoras, Albert Einstein, and Isaac Newton are all renowned mathematicians who have made significant contributions to the field of mathematics.