X raised to 4 minus 2 x cube + 3 x square minus x minus b divided by x minus 1 and remainder is 6. solve it by factors therm or remainder therm.
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X raised to 4 minus 2 x cube + 3 x square minus x minus b divided by x minus 1 and remainder is 6. solve it by factors therm or remainder therm.
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Answer:
Step-by-step explanation:
Answer:
a + b = -4
Step-by-step explanation:
Given that
f(x) =x^{4} - 2x^{3} + 3x^{2} - ax - b
lets divide the above polynomial by x - 1 =0
So,
x - 1 = 0
x = 1
Now substitute x = 1 into above polynomial
f(1) = (1)^{4} - 2(1)^{3} + 3(1)^{2} - a(1) - b
As given f(1) = 6
So,
6 = 1 - 2 + 3 - a - b
6 = 2 - a - b
Rearranging
a + b = 2- 6
a + b = -4
So, value of a + b is -4
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