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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).

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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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