Find the value of k, if x - 1 is a factor of p(x) in each of the

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 Multiple Choice QuestionsShort Answer Type

111. Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
p(x) = 2x+ kx + square root of 2
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112. Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:

p(x) = kx2square root of 2 to the power of straight x end root plus 1
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113. Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:

p(x)=kx2 - 3x + k


p(x)=kx2 - 3x + k

If x - 1 is a factor of p(x) then p(1) = 0
                                   | By Factor Theorem
rightwards double arrow   k(1)2 - 3(1) + k = 0
rightwards double arrow    k - 3 + k = 0
rightwards double arrow    2k = 3

rightwards double arrow space space space space space k = 3 over 2

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114. Factorise
12x2 - 7x + 1
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115. Factorise
2x2 + 7x + 3
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116. Factorise
6x2 + 5x - 6
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117. Factorise
3x2 - x - 4
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118. Factorise
x3 - 2x2 - x + 2
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119. Factorise
 x3 - 3x2 - 9x - 5
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120. Factorise
x3 + 13x2 + 32x + 20
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