GCSE Maths - Factorising Quadratics - Part 1 - (When the x^2 Coefficient is 1) - #50

The video tutorial explains how to factorize quadratic equations by rewriting them as two brackets multiplied together. It provides a detailed step-by-step guide using two examples: X^2 + 10X + 16 and X^2 + 5X - 14. The process involves identifying factor pairs of the constant term and determining which pair sums to the coefficient of the linear term. The tutorial emphasizes the importance of writing out steps to avoid mistakes and ensure accuracy, especially for more complex quadratics.

What is the purpose of factorizing a quadratic expression?

• To find the roots of the expression

• To rewrite it as a product of two binomials

• To eliminate the quadratic term

• To simplify the expression

Which of the following is the first step in factorizing X^2 + 10X + 16?

• Finding the roots of the equation

• Writing out the factor pairs of 16

• Multiplying the terms

• Adding the coefficients

Why is it important to verify the factorization of a quadratic expression?

• To find the roots of the expression

• To simplify the expression further

• To ensure the factors are correct

• To eliminate the quadratic term

What is the correct factor pair for the quadratic X^2 + 10X + 16?

• (3, 5)

• (1, 16)

• (2, 8)

• (4, 4)

When factorizing X^2 + 5X - 14, why must one factor in each pair be negative?

• Because the constant term is negative

• To eliminate the quadratic term

• To simplify the expression

• To find the roots of the expression

Which factor pair correctly adds up to the coefficient of X in X^2 + 5X - 14?

• (-2, 7)

• (2, -7)

• (-1, 14)

• (1, -14)

What is the final step in factorizing a quadratic expression?

• Finding the roots of the expression

• Verifying the factorization by expanding

• Simplifying the expression

• Eliminating the quadratic term