Determine which of the following polynomials has
a factor:
(i)
(ii)
(iii)
(iv)
Solution (i)
Let
Zero of
is
Therefore, by the Factor Theorem,
is the factor of
.
Solution (ii)
Let
Zero of
is
which is not equal to 0.
Therefore, by the Factor theorem,
is not the factor of
.
Solution (iii)
Let
Zero of
is
which is not equal to 0.
Therefore, by the Factor theorem,
is not the factor of
.
Solution (iv)
Let
Zero of
is
Therefore, by the Factor theorem,
is not the factor of
.
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