1.

\begin{array} { l } { \text { nd the remainder when } x ^ { 3 } - a x ^ { 2 } + 6 x - a \text { is d } } \\ { \text { heck whether } 7 + 3 x \text { is a factor of } 3 x ^ { 3 } + 7 x \text { . } } \end{array}

Answer»

Apply remainder theorem =>7 + 3x =0 => 3x = - 7 => x = - 7/3Replace x by - 7/3 we get =>3x3 + 7x=>3(-7/3)3 + 7(-7/3)=>3(-343/27) – 49/3=> (-343/9) – 49/3This value is not equal to 0 we have checked that 7 + 3x is not a factor of expression 3x3 + 7x



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