Simplify
(i)
(ii)
(iii)
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Exam code: 9MA0
Simplify
(i)
(ii)
(iii)
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(i) Factorise
(ii) Hence simplify
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(i) Factorise
(ii) Hence simplify
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Which one, out of the following expressions, is an improper algebraic fraction?
Explain your answer.
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Simplify
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Simplify
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Given
(i) Write down the divisor.
(ii) Write down the quotient.
(iii) Write down the remainder.
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(i) Write down the degree of
(ii) Write down the degree of
(iii) Explain how you know that the degree of the quotient must be 1
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Given
(i) Write down the divisor.
(ii) Write down the quotient.
(iii) Write down the remainder.
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Use polynomial division to find the remainder when is divided by
.
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Simplify
(i)
(ii)
(iii)
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Simplify
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Simplify
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Simplify
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Simplify
(i)
(ii)
(iii)
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Simplify
(i)
(ii)
(iii)
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The function is defined by
Show that
where and
are constants to be found.
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Given that
find the values of the constants ,
,
and
.
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Given that
find the values of the constants ,
,
and
.
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Given
find in the form
, where
,
and
are constants to be found.
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One of the three expressions below is an improper algebraic fraction.
Identify the improper algebraic fraction and write it in the form
where and
are integers to be found.
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One of the three expressions below is an improper algebraic fraction.
Identify the improper algebraic fraction and write it in the form
where and
are integers to be found.
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Simplify
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Solve the equation
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Simplify
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Simplify
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Simplify
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Given that
find the values of the constants ,
and
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Hence, using algebraic integration, find the exact value of
giving your answer in the form where
and
are integers to be found.
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Given that
find the values of the constants ,
,
and
.
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Simplify
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Solve the equation
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Given that
find the values of the constants and
.
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When
is divided by
the quotient is
the remainder is
Find the values of and
.
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Simplify
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Simplify
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Simplify
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One of the three expressions below is an improper algebraic fraction.
Identify the improper algebraic fraction and write it in the form
where ,
and
are integers to be found.
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Given that
find the values of the constants ,
,
,
and
.
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Given
find the values of the constants and
.
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When
is divided by
the quotient is
the remainder is
Find the values of and
.
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