The mole fraction of glucose in 0.15 M solution (density= 1.10 g mL-1 ) is

If  <math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>a</mi><mi>n</mi></msub><msup><mi>x</mi><mi>n</mi></msup><mo>+</mo><msub><mi>a</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msub><msup><mi>x</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>+</mo><mn>...</mn><mo>+</mo><msub><mi>a</mi><mn>1</mn></msub><mi>x</mi><mo>+</mo><msub><mi>a</mi><mn>0</mn></msub></mrow></math><xml> </xml> and if  <math><mrow><mrow><mo>(</mo><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>−</mo><msub><mi>a</mi><mn>0</mn></msub></mrow><mo>)</mo></mrow><mo>+</mo><mrow><mo>(</mo><mrow><msub><mi>a</mi><mn>3</mn></msub><mo>−</mo><msub><mi>a</mi><mn>2</mn></msub></mrow><mo>)</mo></mrow><mo>+</mo><mn>...</mn><mo>=</mo><mn>0</mn></mrow></math><xml> </xml>,  then one of the factors of <math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><xml> </xml> is

The common factor of <math><mrow><mn>12</mn><mi>x</mi></mrow></math><xml> </xml> and 36 is

In <math><mrow><mi>a</mi><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mi>b</mi><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mi>c</mi><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>d</mi><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>c</mi><mi>x</mi><mo>+</mo><mi>f</mi><mo>=</mo><mn>0</mn></mrow></math><xml> </xml> if <math><mrow><mrow><mo>(</mo><mrow><mi>a</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>e</mi></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mi>b</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>f</mi></mrow><mo>)</mo></mrow></mrow></math><xml> </xml>, then factor of <math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><xml> </xml>is

If <math><mrow><mrow><mo>(</mo><mrow><mi>x</mi><mtext> </mtext><mo>−</mo><mtext> </mtext><mn>2</mn></mrow><mo>)</mo></mrow></mrow></math><xml> </xml> is a factor of <math><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mi>a</mi><mi>x</mi><mo>+</mo><mn>4</mn></mrow></math><xml> </xml>, then the value of <math><mrow><mo>'</mo><mi>a</mi><mo>'</mo></mrow></math><xml> </xml> is

If (2x -1) is a factor of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">f</mi><mo>(</mo><mi mathvariant="normal">x</mi><mo>)</mo><mo>=</mo><mn>8</mn><msup><mi mathvariant="normal">x</mi><mn>4</mn></msup><mo>+</mo><mn>4</mn><msup><mi mathvariant="normal">x</mi><mn>3</mn></msup><mo>-</mo><mn>16</mn><msup><mi mathvariant="normal">x</mi><mn>2</mn></msup><mo>+</mo><mn>10</mn><mi mathvariant="normal">x</mi><mo>+</mo><mi mathvariant="normal">m</mi></math>, then what is the value of m?

The mole fraction of glucose in 0.15 M solution (density= 1.10 g mL^-1 ) is

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