Question

if x 2-3x+2 is a factor of x4-ax2+b,then find the value of a,b

Answer 1

x²-3x+2=0

x²-2x-x+2=0

x(x-2)-1(x-2)=0

(x-1)(x-2)=0

x=1,2

f(x)= x⁴-ax²+b

0=1-a+b

a-b=1


f(x)= x⁴-ax²+b

0=32-4a+b

4a-b=32

a=1+b

4(1+b)-b=32

4-4b-b=32

4-5b=32

-5b=32-4

b=-28/5

a+28/5=1

a=1-28/5

a=5-28/5

a=-23/5