Question

If x²-3x+2 is a factor of x⁴-ax²+b=0, then the values of a and b are??
If u feel lazy to answer, just give steps...(but i'll not mark u as brainliest)

Answer 1

Hi hello mate here's the and

x^2 - 3x + 2

=x^2 - 2x - x + 2

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

= (x-2) (x-1)

Therefore, x=1 , 2

p (x)= x^4 -ax^2+b

p (1)= 1^4-a(1)^2 +b

0= 1-a+ b ------------> eq.1.

p (2) =(2)^4 - a (2)^2+b

0 = 16 -4 a +b -----------> eq.2.

subtracting eq .1 from eq . 2 we get,

=> -3a = -15

a = 5

substitute a value in eq .1,

b = 5 - 1

b = 4