Try to answer the following questions here:

• What is this question used for?
• What does this question assess?
• What does the student have to do?
• How is the question randomised?
• Are there any implementation details that editors should be aware of?

### History and Feedback

#### Checkpoint description

Describe what's changed since the last checkpoint.

#### Christian Lawson-Perfect8 months, 1 week ago

Saved a checkpoint:

Replaced JavaScript marking with pattern restrictions.

#### Christian Lawson-Perfect2 years, 6 months ago

Gave some feedback: Ready to use

#### Christian Lawson-Perfect2 years, 6 months ago

Saved a checkpoint:

I've changed the parts so:

• part a always has two negative roots
• part b always has one positive root and one negative
• part c is the difference of two squares.

I don't think there was any point in the version which had a constant on the RHS.

I've added a marking script to check that the student's answer is factorised, rather than using string restrictions.

Published this.

#### Hannah Aldous2 years, 6 months ago

Gave some feedback: Needs to be tested

#### Christian Lawson-Perfect2 years, 6 months ago

Gave some feedback: Has some problems

#### Christian Lawson-Perfect2 years, 6 months ago

Saved a checkpoint:

You need to write a feedback message to show when the student doesn't use brackets.

I got $x^2-16$ for part b, which I'd solve by noticing it's the difference of two squares. Can you make sure the coefficient $x$ is non-zero?

I'd spin part b into its own question: first factorise, then write down the roots.

#### Hannah Aldous2 years, 7 months ago

Gave some feedback: Needs to be tested

#### Vicky Hall2 years, 7 months ago

I think this question should be renamed to 'factorising quadratic equations with $x^2$ coefficient $1$, and your other question (Factoring quadratics with larger coefficients) should be renamed 'factorising quadratic equations with $x^2$ coefficient greater than $1$.

There should be another line in the statement that shows how to solve the equation if it factorises to $(x+m)(x+n)=0$, as you ask the student to solve in the final part of the question.

In part a), I think it's a good idea to have a difference of two squares example to get students to think about how the equation can sometimes look a bit different. However, I think this should be moved to a subpart iii), and subpart i) should have a straightforward quadratic that looks exactly like the general form $ax^2+bx+c$.

#### Vicky Hall2 years, 7 months ago

Gave some feedback: Has some problems

#### Hannah Aldous2 years, 7 months ago

Gave some feedback: Needs to be tested

#### Lauren Richards2 years, 7 months ago

Gave some feedback: Has some problems

• MAIN PARTS
• There is a "$" sign in the statement. • MAYBE suggest the form to answer the question in in part a) but then again if they have read the statement, they should know which form to have it in so up to you really. • I think you should put a full stop after the formula in part b) and then start "input" with a capital letter. • ADVICE • No comma needed after "obtain" in part a)i). • Part b is fine! • Great question! #### Hannah Aldous2 years, 7 months ago Gave some feedback: Needs to be tested #### Hannah Aldous2 years, 7 months ago Created this. Name Status Author Last Modified Factorising Quadratic Equations with$x^2$Coefficients of 1 Ready to use Hannah Aldous 20/11/2019 14:39 Solving Quadratic Equations with$x^2$Coefficients of 1 by Factorising Should not be used Hannah Aldous 20/11/2019 14:42 Katherine's copy of Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Katherine Tomlinson 02/08/2017 12:44 Peter's copy of Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Peter Knowles 12/09/2017 12:29 MATH6058 Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Catherine Palmer 17/10/2019 21:22 Ida's copy of Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Ida Landgärds 13/04/2018 09:15 Ida's copy of Solving Quadratic Equations with$x^2$Coefficients of 1 by Factorising Doesn't work Ida Landgärds 19/04/2018 12:00 løs og faktorisere andregradslikninga draft Ida Landgärds 13/04/2018 10:54 spørsmål 6 draft Ida Landgärds 23/11/2018 10:14 Blathnaid's copy of spørsmål 6 draft Blathnaid Sheridan 15/08/2018 10:53 Blathnaid's copy of spørsmål 6 draft Blathnaid Sheridan 15/08/2018 10:55 Blathnaid's copy of spørsmål 6 draft Blathnaid Sheridan 15/08/2018 11:00 Ed's copy of Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Ed Southwood 31/10/2018 12:26 Factorising Quadratic Expressions draft Ed Southwood 05/11/2018 12:00 Simon's copy of Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Simon Thomas 07/03/2019 09:52 what the heck? draft John Wick 30/05/2019 11:33 Factorizing Quadratic Equations with$x^2$Coefficients of 1 draft Xiaodan Leng 10/07/2019 21:45 Factorizing Quadratic Equations with$x^2$Coefficients of 1 draft Xiaodan Leng 10/07/2019 21:45 F11MTC - Topic 3 - Quadratic Equations 2 draft Oscar Siles Brugge 11/09/2019 13:36 Christian's copy of MATH6058 Factorising Quadratic Equations with$x^2$Coefficients of 1 draft Christian Lawson-Perfect 10/10/2019 10:02 Ann's copy of Factorising Quadratic Equations with$x^2\$ Coefficients of 1 draft Ann Smith 20/01/2020 12:45

Give any introductory information the student needs.

No variables have been defined in this question.

(a number)

Numbers between and (inclusive) with step size
A random number between and (inclusive) with step size

(text string)

(numbers)

(text strings)

This variable is an HTML node. HTML nodes can not be relied upon to work correctly when resuming a session - for example, attached event callbacks will be lost, and mathematical notation will likely also break.

If this causes problems, try to create HTML nodes where you use them in content areas, instead of storing them in variables.

Describe what this variable represents, and list any assumptions made about its value.

This variable doesn't seem to be used anywhere.

Name Type Generated Value

#### Error in variable testing condition

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Error:

for seconds

Running for ...

No parts have been defined in this question.

Select a part to edit.

The correct answer is an equation. Use the accuracy tab to generate variable values satisfying this equation so it can be marked accurately.

#### Checking accuracy

Define the range of points over which the student's answer will be compared with the correct answer, and the method used to compare them.

#### Variable value generators

Give expressions which produce values for each of the variables in the expected answer. Leave blank to pick a random value from the range defined above, following the inferred type of the variable.

#### String restrictions

Both choices and answers must be defined for this part.

Help with this part type

##### Base marking algorithm

#### Test that the marking algorithm works

Check that the marking algorithm works with different sets of variables and student answers using the interface below.

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Value Feedback

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#### Unit tests

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The following tests check that the question is behaving as desired.

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 This note produces the expected output

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When you need to change the way this part works beyond the available options, you can write JavaScript code to be executed at the times described below.

Run this script the built-in script.

This script runs after the built-in script.

To account for errors made by the student in earlier calculations, replace question variables with answers to earlier parts.

In order to create a variable replacement, you must define at least one variable and one other part.

The variable replacements you've chosen will cause the following variables to be regenerated each time the student submits an answer to this part:

These variables have some random elements, which means they're not guaranteed to have the same value each time the student submits an answer. You should define new variables to store the random elements, so that they remain the same each time this part is marked.

### Parts

Give a worked solution to the whole question.

### Preamble

This script will run after the question's variable have been generated but before the HTML is attached.
Apply styling rules to the question's content.

This question is used in the following exams: