Write down a set of factors for
and
.
The possible factors for
are: (1,3).
The possible factors for
are: (-1,1) or (1,-1).
Write down a set of options for the possible factors of the quadratic using the factors of
and
.
Therefore, there are two possible options.
Option 1
Option 2
The factors of
are
and
.
Factorising a trinomial
Factorise the following:
(a)
(b)
(c)
(d)
(e)
(f)
Factorise the following:
Find the factors for the following trinomial expressions:
Find the factors for the following trinomials:
Factorisation by grouping
One other method of factorisation involves the use of common factors. We know that the factors of
are 3 and
. Similarly, the factors of
are
and
. Therefore, if we have an expression:
then we can factorise as:
You can see that there is another common factor:
. Therefore, we can now write:
We get this by taking out the
and seeing what is left over. We have a
from the first term and a
from the second term. This is called
factorisation by grouping .
Find the factors of
by grouping
There are no factors that are common to all terms.
7 is a common factor of the first two terms and
is a common factor of the second two terms.
is a common factor.
The factors of
are
and
.
Factorisation by grouping
Factorise by grouping:
Factorise by grouping:
Factorise by grouping:
Factorise by grouping:
Factorise by grouping:
Simplification of fractions
In some cases of simplifying an algebraic expression, the expression will be a fraction. For example,
has a quadratic in the numerator and a binomial in the denominator. You can apply the different factorisation methods to simplify the expression.
If
were 3 then the denominator,
, would be 0 and the fraction undefined.
Simplify:
Use
grouping for numerator and
common factor for denominator in this example.
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,