real zeros of polynomial functions

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..

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 ..

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 ..

Match the polynomial function graph to its zeros and multiplicity. => - 3 (multiplicity 3); 2 (multiplicity 2) or - 3 (multiplicity 2); 2 (multiplicity 3) or - 3 (multiplicity 3); 2 (multiplicity 3) or - 3 (multiplicity 3); 1 (multiplicity 2)..

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..

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..

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..

An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in ..

The function which contains many terms is called as polynomials. Functions which contain 1 term is called as monomial, function which contain 3 terms is called as trinomial et..

Find the number of real zeros. => 4 or 5 or 2 or 3..