Grade 10 Maths · Algebra

Solve a quadratic by factorising

Solve a quadratic equation by factorising and setting each bracket equal to zero (for example (x − 2)(x + 5) = 0 gives x = 2 or x = −5).

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Quadratic Equations Grade 10Kevinmathscience

Grade 9 Quadratic Equations: IntroductionKevinmathscience

Grade 10 Quadratic Equations PART 1: Step by Step explanationMiss Martins Maths and Science

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Question 3.3 · May/June 2025 · Paper 2 · National (DBE) · 4 marks

In the diagram below,

Δ SRT

is drawn where R lies on the x-axis and S lies to the left of R. T lies on the y-axis and the coordinates of S are

(m; 1)

.

The equation of RT is

2 x - y + 10 = 0

3.3 If it is also given that

2 R T^{2} = 5 S R^{2}

, calculate the value of m.(4)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: solve a quadratic by factorising

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3. Question 1.1.1 · May/June 2025 · Paper 1 · National (DBE) · 3 marks
1.1 Solve for $x$ :
1.1.1 $x^{2} - 3 x - 10 = 0$ (3)
Show the memo (2 ticks)Memo
1. ✓
  Factorise the quadratic equation $(x + 2) (x - 5) = 0$
  1 mark · Factorise a trinomial
2. ✓
  Solve for x $x = - 2$ or $x = 5$
  2 marks · Solve a quadratic by factorising
4. Question 1.1.1 · May/June 2024 · Paper 1 · National (DBE) · 2 marks
1.1 Solve for x:
1.1.1 $3 x^{2} + 5 x = 0$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Factorize the quadratic expression $x (3 x + 5) = 0$
  1 mark · Take out a common factor
2. ✓
  State both final solutions $x = 0$ or $x = - \frac{5}{3}$
  1 mark · Solve a quadratic by factorising
5. Question 2.1.1 · March 2025 · Provincial · 2 marks
2.1 Solve for x:
2.1.1 $3 x (x - 8) = 0$ (2)
Show the memo (1 tick)Memo
1. ✓
  Solve $x = 0$ or $x = 8$
  2 marks · Solve a quadratic by factorising
6. Question 2.1.1 · March 2025 · Provincial · 2 marks
2.1 Solve for x in each of the following equations:
2.1.1 $x (5 - x) = 0$ (2)
Show the memo (1 tick)Memo
1. ✓
  Solve for factors $x = 0$ or $x = 5$
  2 marks · Solve a quadratic by factorising

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