Question

If α and β are zeroes of the quadratic polynomial f(x) = x2 - 4x-3, find the values of α4 β2 + α2 β4.

Answer 1

Answer:

90

Step-by-step explanation:

Solve eq by middle term spliting and we will get x=3, x=1

Hence, alpha=3 and beta =1

Put in alpha4 beta4+ alpha2beta4

3*3*3*3*1*1+3*3*1*1*1*1

81+9=90

Answer 2

ANSWER:-

x2-4x+3=0

a+b =-b/a

=-(-4)/1

=4

ab =c/a

=3/1

=3

=a⁴b²+a²b⁴

=ab²(a+b)²

=(3)²(4)²

=9×16

=114

I hope it help you