Question

If α and β are the zeros of the quadratic polynomial f(x) = 2x² -5x + 7, find a

polynomial whose zeros are 2α+ 3β and 3α+ 2β?​

Answer 1

Step-by-step explanation:

are given of the polynomial P(x)=2x

2

−7x+3

where a=2, b = -7, c = 3.

now, αβ=

a

c

⇒αβ=

2

3

Hence α

3

β

3

=(αβ)

3

=(

2

3

)

3

=

8

27

.