Question

if 2 and -1/4 are the zeroes of the polynomial 3x³-2x²-7x-2.find the third zero of the polynomial ​

Answer 1

Answer:

third zero  is -13/12

Step-by-step explanation:

SOLUTION :

We have p(x) = 3x³ - 2x² - 7x - 2 where a=3, b=(-2), c=(-7), d=(-2)

and α = 2 and β = -1/4

We need to find γ(third zero)

So, SUM OF ZEROES OF A CUBIC POLYNOMIAL:

                        α + β + γ = -b/a

                   2 + (-1/4) + γ =  -(-2)

                          (-1/4) + γ = (2/3) - 2

                                      γ = (-4/3) + 1/4

therefore,                      γ  = (-13/12)