Factorisation Test

Result

Factorisation Test - 4

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Question 1
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Which of the following statements is incorrect?

A
For factorising an algebraic expression of the type x² + px + q, we find two factors a and b of q (i.e. the constant term) such that ab = q and a + b = p.

B
"Division is the inverse of multiplication." This statement is true only in case of numbers, but it does not apply in case of division of algebraic expressions.

C
When we factorise an algebraic expression, we write it as a product of factors, where these factors may be numbers, algebraic variables or algebraic expressions.

D
When we multiply the expression enclosed in a bracket by a constant (or a variable) outside, each term of the expression has to be multiplied by the constant (or the variable).

Solution

(1) For factorising an algebraic expression of the type x² + px + q, we find two factors a and b of q (i.e. the constant term) such that ab = q and a + b = p.
This is a true statement.

(2) "Division is the inverse of multiplication." This statement is true only in case of numbers, but it does not apply in case of division of algebraic expressions.

This is a false statement as ''division is the inverse of multiplication" is true in case of numbers as well as algebraic expressions.

(3) When we factorise an algebraic expression, we write it as a product of factors, where these factors may be numbers, algebraic variables or algebraic expressions.
This is also a true statement.

(4) When we multiply the expression enclosed in a bracket by a constant (or a variable) outside, each term of the expression has to be multiplied by the constant (or the variable).

This is also a true statement.