Question

if A and B are the zeroes of the quadratic polynomial f(x)= x2 -4x +3, find the value of (a4 b2 + a2 b4)​

Answer 1

Answer:

We'll find the zeroes of this polynomial first:

x^2 - 4x + 3

=》 x^2 - x - 3x + 3

=》 x ( x - 1 ) - 3 ( x - 1 )

=》 ( x - 3 ) ( x - 1 )

=》 x = 3 , 1

Now, letting a = 1 and b = 3 :

$\tt {a^{4}b^{2} + a^{2}b^{4}}$

=》 $\tt {a^{2}b^{2}(a^{2} + b^{2})}$

=》 9 ( 9 + 1 )

=》 9 × 10

=》 90