coefficients of polynomial

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..

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..

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..

Choose the leading coefficient of the given polynomial function f ( p ) = 11 p - 2 p 2 . => 11 or - 2 or 2 or - 11..

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 16. Choose the minimum number of real zeros f ( x ) can have. => 15 or 16 or 2 or 17..

The degree of a polynomial function f ( x ) with real coefficients is 17. Choose the minimum number of real zeros that f ( x ) will have. => 0 or 17 or 1 or 16..

Which of the following is true? => Every polynomial function of degree 7 degree with real coefficients has at least four real zeros. or Every polynomial function of degree 7 with real coefficients has at least three real zeros. or Every polynomial f..

Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..