Real coefficients with complex roots means the roots are in complex conjugate pairs.
Hence roots are 5, (3+i), (3-i), leading coefficient is 1
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1,...
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 1-13, 1+ /3, and 5-i. The polynomial function is f(x)=U- (Simplify your answer.)
Find a polynomial function P of the lowest possible degree, having real coefficients, a leading coefficient of 1, and with the given zeros. 2 + 3i. - 1 and 2 The polynomial of lowest degree is P(x) =
Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: - 7; - i; 6+ i Enter the polynomial. F(x) =a (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your answer.)
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n = 3; 3 and 4 i are zeros; f(1) = - 34 f(x)= (Type an expression using x as the variable. Simplify your answer.)
Find a polynomial with integer coefficients, with leading coefficient 1, degree 5, zeros i and 3 – i, and passing through the origin. P(x) =
Form a polynomial fx) with real coefficients having the given degree and zeros. Degree 5; zeros: 9;- i;2+i Enter the polynomial. Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your answer.)
Form a polynomial whose real zeros and degree are given Zeros: -3,-2,2,4 degree: 4 Form a polyromial whose real zeros and degree are given. Zeros: -3,-22,4 degree: 4 Type a polynomial with integer coefficients and a leading coefficient of 1. f(x)-? (Simplify your answer.)
Let a, be the leading coefficient. Find the complete factored form of a polynomial with real coefidients f(x) that satisfies the conditions. degree 2; an = 1; zeros 11i and -111 f(x)= (Simplify your answer. Type your answer in factored form. Express comnley numhorn in
Find an nith degree polynomial function with real coefficient satisfying the given conditions. I you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value - 3 and 7.5i are zeros (2) - 250 #x) (Type an expression using x as the variable. Simplify your answer.)
This Question: 1 pt Form a polynomial f(x) with real coefficients having the Degree 5; zeros: 3; - i; 3+ i Enter the polynomial. f(x)= a( ) (Type an expression using x as the variable. Use intege Enter your answer in the answer box. Type here to search