Question

If x2-3x+2 is a factor of x4-ax2+b then find a and b

Answer 1

Answer:

Best Answer:  x^2 - 3x + 2 = (x - 2)(x - 1)  

x = 1, x = 2 make f(x) zero :  

x = 1,  

1^4 - a(1)^3 + b = 0  

a - b = 1  

x = 2,  

2^4 - a(2)^3 + b = 0  

16 - 8a + b = 0  

-8a + b = -16  

=>  

a - b = 1  

-8a + b = -16  

a = 15/7, b = 8/7