if x2-3x+2 is a factor of x4-ax2+b find a and b
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Answered by
68
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
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
Answered by
2
Answer:
above one is almost correct
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