Question

If α and β are the zeroes of the quadratic polynomial f(x)=x^{2} -4x+6 , then find the value of α⁴β³+α³β⁴.
PLS ANS FAST!!!......

Answer 1

Step-by-step explanation:

GIVEN:

α and β are the zeroes of the quadratic polynomial f(x)=x^{2} -4x+6.

Sum of zero = α + β = - b/a = 4/1 = 4. ....... 1

Product of zero = αβ = c/a = 6 ......... 2

So,

α⁴β³+α³β⁴ = α³β³(α+β)

= (αβ)³(α+β) (put the value

from eq. 1 and 2)

= ( 6)³(4)

= 216×4

= 864