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 mechanical method of factorization, which involves finding factor pairs and splitting the middle term of a quadratic expression. The tutorial also covers the process of factorizing the denominator and simplifying the fraction by canceling common factors. The video concludes with an explanation of the marks allocation for the factorization process.

What is the first step in simplifying a fraction with a quadratic numerator?

• Divide the numerator by the denominator

• Add the numerator and denominator

• Multiply the numerator by the denominator

• Factorize the numerator

When factorizing a quadratic expression, what is the purpose of finding factor pairs?

• To find numbers that satisfy the middle term

• To eliminate the quadratic term

• To simplify the expression directly

• To determine the highest common factor

How do you split the middle term in the factorization process?

• By dividing the entire expression

• By using factor pairs

• By adding a constant

• By multiplying the quadratic term

What is the common factor in the expression 3X^2 - 9X + 1X - 3?

• 3X

• 1

• 2X

• X - 3

What is the final step in simplifying the fraction after factorizing both the numerator and the denominator?

• Multiply the numerator by the denominator

• Cancel out common factors

• Add the numerator and denominator

• Divide the numerator by the denominator