If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?Question 4Select one:a.0b.Realc.Complexd.1e.None of these

The real root of the equation 3x x− + =4 0 is −1.796 to three decimal places.Determine the real root for each of the following.(a) ( ) 3− −x x1 1( )− + =4 0(b) 38 2x x− + =4 0

Which of the following polynomial functions have exactly 5 roots, including all real and imaginary roots?Responsesf(x)=5x4+x3−x2+x−5𝑓(𝑥)=5𝑥4+𝑥3−𝑥2+𝑥−5f of x is equal to 5 x to the 4th power plus x cubed minus x squared plus x minus 5f(x)=4x5+3x4+2x3+x2+x𝑓(𝑥)=4𝑥5+3𝑥4+2𝑥3+𝑥2+𝑥f of x is equal to 4 x to the 5th power plus 3 x to the 4th power plus 2 x raised to the 3 power plus x squared plus xf(x)=5x6−5x4+5x2−5𝑓(𝑥)=5𝑥6−5𝑥4+5𝑥2−5f of x is equal to 5 x to the 6th power minus 5 x to the 4th power plus 5 x squared minus 5f(x)=4x4−3x3+2x2−1

Which of the following statements are true andwhich are false ? Give a short proof or acounter-example, whichever is appropriate insupport of your answer : 20(i) A cubic equation with real coefficients hasat least one real root

Q 69. Roots of the equation given below are: x^4-4x^3+ 6x^2-4x+1=0 Ops: A. 3,1,3,1 B. 1,1,1,1 C. 1,2,1,2 D. 2,2,2,2

The given linear polynomial y = f(x) has:a) two zeroesb) one zero which is 3c) One zero which is 4d) No zero