The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Solving Quadratic Equations From Their Factors (1)

In this worksheet, students solve quadratic equations from their factorised form.

'Solving Quadratic Equations From Their Factors (1)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Solve Quadratic Equations by Factorising

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

A quadratic expression can sometimes be factorised.  If the product of these factors is zero, it is easy to solve the associated quadratic equation.

We use the fact that, if ab = 0, then we know that either a = 0 or b = 0 (or both).

 

Example

Solve for x:

(x + 3) (x - 5) = 0

 

Answer

If (x + 3) (x - 5) = 0

then either (x + 3) = 0 or (x - 5) = 0

 

Write each equation separately.

x + 3 = 0                                         x - 5 = 0

 

Subtract 3 from both sides.                      Add 5 to both sides.

x + 3 - 3 = 0 - 3                              x - 5 + 5 = 0 + 5

 

Simplify.

x = -3                                             x = 5

 

Solution is:

x = -3 or x = 5

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 6) (x - 6) = 0

x = -18

x = -6

x = 18

x = 6

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x - 4) = 0

x = 3

x = -3

x = -4

x = 4

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 7) (x + 4) = 0

x = -4

x = 4

x = 7

x = -7

Solve the quadratic equation by selecting all the correct solutions below.

 

(x) (x + 1) = 0

x = 1

x = ½

x = -1

x = 0

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 8) (x - 1) = 0

x = 1

x = -8

x = -1

x = 8

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x + 3) = 0

x = 9

x = -9

x = -3

x = 3

Solve the quadratic equation by selecting all the correct solutions below.

 

(x - 6) (x - 5) = 0

x = 5

x = -5

x = -6

x = 6

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x - 3) = 0

x = -3

x = 3

x = 9

x = -9

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 4) (x - 7) = 0

x = -4

x = 7

x = 4

x = -7

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 10) (x - 100) = 0

x = 100

x = 10

x = -10

x = -100

  • Question 1

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 6) (x - 6) = 0

CORRECT ANSWER
x = -6
x = 6
  • Question 2

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x - 4) = 0

CORRECT ANSWER
x = -3
x = 4
  • Question 3

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 7) (x + 4) = 0

CORRECT ANSWER
x = -4
x = -7
  • Question 4

Solve the quadratic equation by selecting all the correct solutions below.

 

(x) (x + 1) = 0

CORRECT ANSWER
x = -1
x = 0
  • Question 5

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 8) (x - 1) = 0

CORRECT ANSWER
x = 1
x = -8
  • Question 6

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x + 3) = 0

CORRECT ANSWER
x = -3
  • Question 7

Solve the quadratic equation by selecting all the correct solutions below.

 

(x - 6) (x - 5) = 0

CORRECT ANSWER
x = 5
x = 6
  • Question 8

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 3) (x - 3) = 0

CORRECT ANSWER
x = -3
x = 3
  • Question 9

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 4) (x - 7) = 0

CORRECT ANSWER
x = -4
x = 7
  • Question 10

Solve the quadratic equation by selecting all the correct solutions below.

 

(x + 10) (x - 100) = 0

CORRECT ANSWER
x = 100
x = -10
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1