Question

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.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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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