GCSE Secondary Maths Age 13-17 - Algebra: Factorising 2 - Explained

The video tutorial explains how to simplify algebraic fractions by factorizing both the numerator and the denominator. It introduces the concept of factorization, particularly focusing on quadratics, and demonstrates a mechanical method for factorizing expressions. The tutorial walks through the process of identifying common factors and simplifying the fraction, providing a detailed explanation of each step. It also discusses the allocation of marks for correct factorization and the importance of mastering this method for solving algebraic fractions.

What is the first step in simplifying a fraction by factorization?

• Divide the numerator by the denominator

• Find the factor pairs of the constant term

• Factorize the numerator

• Multiply the numerator and denominator

When factorizing a quadratic expression, what is the purpose of splitting the middle term?

• To make it easier to factor into two brackets

• To eliminate the constant term

• To simplify the expression

• To find the roots of the equation

What common factor is taken out when factorizing the expression 3X^2 - 9X + 1X - 3?

• 1

• 3X

• 3

• X

What is the highest common factor in the denominator 2X^2 - 6X?

• 6

• 2X

• 2

• X

What is the final simplified form of the fraction after canceling common factors?

• X - 3 over 2X

• 3X + 1 over 2X

• X - 3 over 3X + 1

• 3X + 1 over X