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