relationship between zeros and coefficient

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 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..

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..

Which of the following statement(s) is/are false? I. The coefficient of nondetermination is found by subtracting the coefficient of determination from 1. II. As the correlation coefficient approaches zero, the coefficient of determination increases ..

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..

Which of the following is a polynomial of degree 4 with real coefficients that has having zeros 3, - 1, and 2 - i ? => f ( x ) = 2 x 4 - 1 2 x 3 + 2 0 x 2 + 4 x - 30 or f ( x ) = 2 x 4 - 1 2 x 3 - 3 0 x 2 + 4 x - 30 or f ( x ) = 2 x 4 - 1 2 x 3 + 3 0 x 2 + 4 x + 30 or none of th..

Select the polynomial function with leading coefficient 4, degree 4, and zeros - 3, - 1, 0 and 5 / 2 . => f ( x ) = 4 x 4 + 6 x 3 + 28 x 2 + 30 x or f ( x ) = 4 x 4 + 6 x 3 - 28 x 2 - 60 x or f ( x ) = 4 x 4 + 6 x 3 + 28 or f ( x ) =..

The degree of a polynomial function f ( x ) with real coefficients is 7. Choose the minimum number of real zeros that f ( x ) will have. => 7 or 0 or 6 or 1..