Question

When x⁴ - 2x3 + 3x²-ax+b is divided by (x-1)
and (x+1) the remaindas are 5&19 respectively,
then finda&b.
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Answer 1

Answer:

p(1) = 1 - 2 +3 -a + b = 5

p(1) = -a + b = 3

p(-1) = 1 +2 +3 + a + b = 19

p(-1) = a + b = 13

-a + b = 3

(-) a +b = 13

__________

-2a = -10

a = 5

substitute a in equation 1

-5 + b = 3

b = 8

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