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[4 marks sum]

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7 questions · timed · auto-graded

Question 14 Marks
Using the remainder theorem and factor theorem, factorise the following polynomial : $x^3+10 x^2-37 x+26$.
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Question 24 Marks
If $(x-2)$ is a factor of the expression, $2 x^3+a x^2+b x-14$ and when the expression is divided by $(x-3)$, it leaves a remainder 52 , find the values of $a$ and $b$.
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Question 34 Marks
Using the remainder theorem, factorise completely the following polynomial: $3 x^3+2 x^2-19 x+6$
Answer
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Question 44 Marks
Given that $(x+2)$ and $(x+3)$ are factors of $2 x^3+a x^2+7 x-b$, Determine the values of $a$ and $b$.
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Question 54 Marks
If $(x-2)$ is a factor of $2 x^3-x^2-p x-2$,
(a) find the value of $p$.
(b) with the value of $p$, factorise the above expression completely.
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[4 marks sum] - Mathematics STD 10 Questions - Vidyadip