Question

IF A and B are the zeroes of the quadratic polynomial f(x) =x2 -4x +3 , find the value of A4B2 + A2B4

Answer 1

Answer:

90

Step-by-step explanation:

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 :

=》

=》 9 ( 9 + 1 )

=》 9 × 10

=》 90