Matric Part 2/10th Class Mathematics Chapter 2 Short Questions With Answer Preparation for Unit 2 Factorization

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What is Factorization?

• Ans 1: The process of writing an expression as a product of two or more factors is called factorization.

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What is meant by the divisor of a polynomial?

• Ans 1: A polynomial D(x) is called a divisor of a polynomial P(x), if P(x)=D(x).Q(x) for some polynomial Q(x).

What is meant by zero of a polynomial?

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Show the relation among dividend, divisor, quotient and remainder with an equation.

• Ans 1: The relation among dividend, divisor, quotient and remainder can be expressed as:
• Ans 2: Dividend = divisor x quotient + remainder

What are the methods to find the square root of an algebraic expressions?

• Ans 1: We can find the square root of an algebraic expression by following methods:
• Ans 2: (i) Factorization (ii) Division

What is the relationship between H.C.F. and L.C.M. ?

• Ans 1: If A and B are two algebraic expressions and H.C.F. and L.C.M. of these is represented by H and L respectively, then relationship among them can be expressed as:
• Ans 2: A x B = H x L

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What is meant by zero of a polynomial?

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Define Highest Common Factor (H.C.F.).

• Ans 1: The highest common factor of two or more algebraic expressions is the expression of highest degree which divides each of them without remainder. The abbreviation of the words "highest common factor" is H.C.F.

Write the process to find H.C.F. by division method.

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Define cubic polynomial with example.

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What is the relationship between H.C.F. and L.C.M. ?

• Ans 1: If A and B are two algebraic expressions and H.C.F. and L.C.M. of these is represented by H and L respectively, then relationship among them can be expressed as:
• Ans 2: A x B = H x L

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Define a Linear polynomial with Example.

• Ans 1: A polynomial of degree '1' is called a linear polynomial.
• Ans 2: The general form of linear polynomial is ax+b where a, b are real numbers and a is not equal to zero. e.g. , x+3, 2x-5 etc.