relationship between zeros and coefficient

Rates of most chemical reactions increases with temperature because the rate constant 'k' increases with temperature. The temperature dependence of the rate constant is given by the Arrhenius equatio..

Which of the following polynomial functions has the leading coefficient 2, degree 3, with - 2, 1 and 4 as real zeros? => f ( x ) = 2 x 3 + 6 x 2 + 12 x + 16 or f ( x ) = 2 x 3 + 6 x 2 - 12 x - 16 or f ( x ) = 2 x 3 - 6 x 2 - 12 x + 16 or f ( x ) = x 3 + x 2 +..

Choose a polynomial function in standard form with real coefficients whose zeros are 2 and - 6 and multiplicity of 3 and 2 respectively. => f(x ) = x 5 + 8 0 x 2 or f(x ) = - 24 x 3 + 8 0 x 2 or f(x ) = x 5 + 6 x 4 + 3 3 6 x - 2 8 8 or f(x ) = x 5 + 6 x 4 - 2 4 x 3 - 8 0 x 2 + 3..

where E r is the component of electric field along the direction of 'r'. dv/dr is called the potential gradient and the negative sign implies that electric field acts in a direction of decrease of potential. The above expression also indicates that E is not necessarily zero ..

Relationships for Zero order, First order and Second order Reactions..

There are two things that should be done before doing regression analysis. They are: I. Collect the data and then construct a scatter plot to determine the nature of the relationship. II. Collect the data and construct a histogram. III. Compute the value of the correlation coefficien..

Find a polynomial function of minimum degree in standard form with real coefficients whose zeros are 2, 4 + i and 3 i . => x 5 - 1 0 x 4 + 4 2 x 3 - 1 2 4 x 2 + 2 9 7 x - 3 0 6 or x 5 - 1 0 x 4 + 4 2 x 3 or 42 x 3 + 1 2 4 x 2 + 2 9 7 x + 3 0 6 or x 5 + 1 2 4 x 2 + 2 9 7 x + 3 0 ..

The degree of a polynomial function f ( x ) with real coefficients is 5. Choose the maximum number of nonreal zeros f ( x ) can have. => 5 or 6 or 4 or 3..

The degree of a polynomial function f ( x ) with real coefficients is 14. How many nonreal zeros does f ( x ) have? => 12 or 14 or 13 or 15..