If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

So we can say that

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

and we can notice that

so

it comes

multiply by 3

b

step-by-step explanation:

-1

step-by-step explanation: