MCQOPTIONS
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MCQOPTIONS
| 1. |
If f(x) is divided by (x – α)(x – β) where α ≠ β, then what is the remainder? |
| A. | \(\frac{{\left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right) - \left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| B. | \(\frac{{\left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| C. | \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\alpha }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\beta }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| D. | \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) |
| Answer» D. \(\frac{{\left( {{\rm{x}} - {\rm{\beta }}} \right){\rm{f}}\left( {\rm{\beta }} \right) - \left( {{\rm{x}} - {\rm{\alpha }}} \right){\rm{f}}\left( {\rm{\alpha }} \right)}}{{{\rm{\alpha }} - {\rm{\beta }}}}\) | |