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 cannot be the number of real zeros of a polynomial of degree 5 with real coefficients? => 5 or 6 or 4 or 0..

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 +..

Which of the following polynomial functions has leading coefficient 3, degree 3 and - 1, 3 and 5 as real zeros? => f ( x ) = 3 x 3 - 21 x 2 + 21 x + 45 or f ( x ) = 3 3 - 21 x 2 + 2 x - 2 or f ( x ) = 3 3 - 21 x 2 - 21 x - 45 or f ( x ) = 3 x 3 - 21 x 2 + 21 x - 25..

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..

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

1 newton = 1kg x 1 m s - 2 = 1000 g x 100 cm s - 2 [F = ma] = 100000 g cm s - 2 = 10 5 dyne As discussed earlier, the relationship between force, mass and acceleration is expressed by the equation, F = ma Now if no force acts on a body (F = 0) 0 = ma But m, being mass of the bod..

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 if V is z..