Question

Show that (x-2) and (3x+1) are the factors of the polynomial 3x³ - 2x² - 7x - 2. Also, find the third factor of the polynomial. Pls answer me fast I'm in great need for help...

Answer 1

if x= 2 and x= -1/3 are roots of the equation
then x-2 and 3x+1 are factors of polynomial.

let third factor be (x-k)

if k is also the root of the equation then (x-k) will be the third factor.

to find k you can use product of roots = -c/a= 2/3

thus (2)(-1/3)(k)=2/3
k=-1
thus x+1 is the third factor

Answer 2

Answer:

if x=2 and x= -1/3 are roots of the equation then x-2 and 3x+1 are factors of polynomial.

let third factor be (x-k)

if k is also the root of the equation then (x-k) will be the third factor.

to find k you can use product of roots = -c/a= 2/3

thus (2)(-1/3)(k)=2/3 k=-1

thus x+1 is the third factor

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