Match the following roots with their meaning.Group of answer choicesphaeo

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

Three roots of a fourth-degree polynomial equation with rational coefficients are 5 + , −17, and 2 – . Which number is also a root of the equation?

If  𝛼α and 𝛽β are the roots of the equation 𝑥2−5𝑥+𝑐=0x 2 −5x+c=0, and 𝛼−𝛽=1α−β=1 then 𝑐=?c=?.

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 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+2x2−1𝑓(𝑥)=4𝑥4−3𝑥3+2𝑥2−1f of x is equal to 4 x to the 4th power minus 3 x cubed plus 2 x squared minus 1Graphing Calculator