NUMBAS - Factorise - Numbas at mathcentre.ac.uk

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NUMBAS - Factorise

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Mathematical expression

Katy Dobson 7 years, 10 months ago

Katy Dobson 7 years, 10 months ago

Katy Dobson 7 years, 10 months ago

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Katy Dobson 7 years, 10 months ago

Katy Dobson 7 years, 10 months ago

Katy Dobson 7 years, 10 months ago

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Katy Dobson

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Katy Dobson

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7 years, 10 months ago

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Created this as a copy of Factorise the quadratic expression.

Name	Status	Author	Last Modified
Factorise the quadratic expression	Ready to use	Andrew Stacey	14/06/2017 22:55
Factorise the quadratic expression (with non-trivial x^2)	Ready to use	Andrew Stacey	16/06/2017 12:38
NUMBAS - Factorise	Ready to use	Katy Dobson	30/07/2018 10:37
Factorise the quadratic expression (with non-trivial x^2)	draft	Xiaodan Leng	11/07/2019 02:21
Factorise the quadratic expression - Refresh	draft	Maria Pickett	11/09/2019 13:47

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Question statement

Factorise the following quadratic.

Give any introductory information the student needs.

			Name	Type	Generated Value

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Name

Data type

Value

A random number between and (inclusive) with step size

Description

One of the factors.

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

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Advice

The first step is to find two numbers that add together to give $\var{a+b}$ and multiply to give $\var{a*b}$ .

These are $\var{a}$ and $\var{b}$ .

We split the $x$ -term using $\simplify{{a + b}x = {a} x + {b} x}$ and work as follows:

$\begin{aligned}\simplify{x^2 + {a + b} x + {a*b}} &= \simplify{x^2 + {a} x + {b} x + {a*b}} \\ &= \simplify{x(x + {a}) + {b}(x + {a})} \\ &= \simplify{(x + {b})(x + {a})}\end{aligned}$

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Part	Test	Passed?
Mathematical expression
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Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
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Mathematical expression
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Mathematical expression
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