Grade 10 Maths · Algebra

Factorise trinomials with a leading coefficient

Factorise a trinomial where the number in front of x² is not 1 (for example 2x² + 7x + 3 = (2x + 1)(x + 3)).

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8) Factorising trinomials grade 10 | Part 2Kevinmathscience

Factorising Trinomials Grade 10 PART 3: Trinomial with number in frontMiss Martins Maths and Science

8a) Factorising trinomials grade 10 | TryKevinmathscience

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Question 1.6 · March 2022 · Provincial · 2 marks

Four options are provided as possible answers to the following questions. Choose the correct option.

1.6 Factorise the following:

4 x^{2} - 3 x - 27 =

(2)

A $(2 x + 9) (2 x - 3)$
B $(2 x - 9) (2 x + 3)$
C $(4 x + 9) (x - 3)$
D $(4 x - 9) (x + 3)$

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

More past paper questions: factorise trinomials with a leading coefficient

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3. Question 1.2.1 · March 2021 · Provincial · 2 marks
1.2 Factorise the following expressions fully:
1.2.1 $2 x^{2} + 7 x - 4$ (2)
Show the memo (2 ticks)Memo
1. ✓
  First factor $(2 x - 1)$
  1 mark · Factorise trinomials with a leading coefficient
2. ✓
  Second factor $(x + 4)$ , so $2 x^{2} + 7 x - 4 = (2 x - 1) (x + 4)$
  1 mark · Factorise trinomials with a leading coefficient
4. Question 1.1.1 · March 2019 · Provincial · 2 marks
Factorise the following expressions fully:
1.1 Factorise the following expressions fully:
1.1.1 $6 x^{2} + 7 x - 20$ (2)
Show the memo (1 tick)Memo
1. ✓
  Factorise trinomial $6 x^{2} + 7 x - 20 = (3 x - 4) (2 x + 5)$
  2 marks · Factorise trinomials with a leading coefficient
5. Question 3.1.1 · March 2018 · Provincial · 2 marks
3.1 Solve for $x$ :
3.1.1 $8 x^{2} + 14 x - 15 = 0$ (2)
Show the memo (1 tick)Memo
1. ✓
  Factorise and solve $(4 x - 3) (2 x + 5) = 0$
  $x = \frac{3}{4}$ or $x = - \frac{5}{2}$
  2 marks · Factorise trinomials with a leading coefficient
6. Question 1.2.1 · June 2024 · Paper 1 · Provincial · 2 marks
1.2 Given: $2 x^{2} - 3 x - k = 0$ . Determine $x$ if:
1.2.1 $k = 5$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Substitute k and factorise $2 x^{2} - 3 x - 5 = 0$
  $(2 x - 5) (x + 1) = 0$
  1 mark · Factorise trinomials with a leading coefficient
2. ✓
  Solve for x $x = \frac{5}{2}$ or $x = - 1$
  1 mark · Solve a quadratic by factorising

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