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 ..

Which of the following statement(s) is/are true? I. The multiple correlation coefficient denoted by R takes into account all the independent variables and can be computed by using the values of the individual correlation coefficients. II. R can range from - 1 to + 1. III. R can ..

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..