Show that (x - 2) is a factor of the polynomial f(x) = 2x3 - 3x
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    Polynomials

    Multiple Choice QuestionsShort Answer Type

    131.  Examine whether x + 2 is a factor of x3 + 3x2 + 5x + 6 and 2x + 4.
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    132. Find the value of k if x - 1 is a factor of 4x3 + 3x2 - 4x + k.
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    133. Factorise 6x2 + 17x + 5 by splitting the middle term.
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    134. Factorise y2 - 5y + 6 by using the Factor Theorem.
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    135. Factorise x3 - 23x2 + 142x - 120.
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    136. Find the value of a if (a: + a) is a factor of x4 - a2 x2 + 3x - a. 
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    137. Show that (x - 2) is a factor of the polynomial f(x) = 2x3 - 3x3 - 17x + 30 and hence factorize f(x).  

    Solution not provided.

    Ans.  (x - 2) (x + 3) (2x - 5)

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    138. Find the value of a if (x - 1) is a factor of 2x2 + ax plus square root of 2.
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    139. Factorise: x3 + 6x2 + 11x + 6
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    140. Check whether polynomial p(s) = 3s3 + s2 - 20s + 12 is a multiple of 3s - 2.
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