Question

If a and b are zeroes of the quadratic polynomial p(x) =x²-5x+6, find the value of a⁴b²+a²b⁴​

Answer 1

Answer:

468

Step-by-step explanation:

x²-5x+6=0

x²-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-3)(x-2)=0

x=2,3

a=2,b=3

a⁴b²+a²b⁴​

2⁴3²+2²3⁴​

2²3²(2²+3²)

4×9(4+9)

36×13

468