PrepWisePrepWiseSolving Quadratics
AlgebraDeep Dive

Method: Step by Step

Part of Solving Quadratics — GCSE Mathematics

This deep dive covers Method: Step by Step within Solving Quadratics for GCSE Mathematics. Revise Solving Quadratics in Algebra for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 7

Practice

15 questions

Recall

12 flashcards

Method: Step by Step

1 Rearrange to get = 0 on one side
2 Factorise into two brackets
3 Set each bracket equal to zero
4 Solve each mini-equation
5 Write BOTH solutions clearly

Keep building this topic

Read this section alongside the surrounding pages in Solving Quadratics. That gives you the full topic sequence instead of a single isolated revision point.

The Key InsightWorked Example 1: Basic QuadraticWhy Two Solutions?Worked Example 2: Negative Constant

Practice Questions for Solving Quadratics

The equation x² + 5x + 10 = 0 has:

  • A. Two different real solutions
  • B. One repeated solution
  • C. No real solutions
  • D. Infinitely many solutions
1 markfoundation

A rectangle has length (x + 5) cm and width (x + 2) cm. The area of the rectangle is 40 cm². Form a quadratic equation and solve it to find the value of x.

3 marksstandard

Quick Recall Flashcards

Solving Quadratics
Set equal to 0, factorise, each bracket = 0
How to factorise x² + bx + c
Find two numbers that: - Multiply to give c - Add to give b Then write as (x + p)(x + q)

Want to test your knowledge?

PrepWise has 15 exam-style questions and 12 flashcards for Solving Quadratics — with adaptive difficulty and instant feedback.

Join Alpha

Previous

The Key Insight

Next

Worked Example 1: Basic Quadratic