Factorise :
(i)
(ii)
(iii)
(iv)
Solution (i)
Let
Factors of constant term 2 are
1 and
2.
Let’s try if
is the factor of
.
By the Factor theorem, we can say that
is the factor of
We can also find other factors of
by doing long division but we will just split the terms to take
common from
.
Solution (ii)
Let
Factors of constant term -5 are
1 and
5
Let’s try if
is the factor of
which is not equal to 0.
Therefore, by factor theorem, we can say that
is not the factor of
.
Let’s try if
is the factor of
.
Therefore, by factor theorem,
is the factor of polynomial
.
We will split terms accordingly to take
common from
. We can also do long division to find other factors of
.
Solution (iii)
Let
Factors of constant term 20 are
1,
4 and
5.
Let’s try if
is the factor of
Therefore, by factor theorem, we can say that
is the factor of
.
Now, we will split the terms accordingly to take
common from
. We can also do long division to find other factors but it may take more time.
Solution (iv)
Let
Factors of constant term
are
1.
Let’s try if
is the factor of
.
Therefore, by factor theorem, we can say that
is the factor of
.
Now, we will split the terms accordingly to take
common from
. We can also do long division to find other factors but it may take more time.
Nainitha says
It is very useful