Use the factor theorem to verify that is a factor of .
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Use the factor theorem to verify that is a factor of .
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Divide by .
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Given has a root at , fully factorise .
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Use polynomial division to show that is a factor of .
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Given is a root of the function , fully factorise .
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Given that is a factor of , find the value of .
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Given that is a root of the function , find the possible values of .
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Find the remainder when is divided by
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The function is given by where and are constants.
Given that both are factors of find the values of .
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Divide by .
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Given that is a factor of , factorise completely.
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. Given that and :
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Given that is a factor of the function and that the remainder when is divided by is , find the values of the constants p and q.
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Show that can be written in the form where and are constants to be found.
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Divide by .
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Find the remainder when is divided by .
Given that is a factor of , factorise completely.
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Factorise completely.
Write down all the real roots of the equation .
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. Given that and :
find the values of and .
Factorise completely.
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Consider the function
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The function has as a factor, and when is divided by the remainder is 7.
Show that and must satisfy the simultaneous equations:
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Divide by .
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Given that 3 is a root of the equation , prove that the equation has no other real roots.
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