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Division Algorithm for a Polynomial

19. Find the ...

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19. Find the values of a and b so that the polynomial (x + ax - 7x + 8x + b) is exactly divisible by (x+2) as well as (x+3).

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Q. Find the value of

a

b

so the polynomial

(x^{4} + a x^{3} - 7 x^{2} - 8 x + b)

exactly divisible by

(x + 2)

(x + 3)

Q. Find the value of

a

b

so that the polynomial

x^{3} + 10 x^{2} + a x + b

is exactly divisible by

(x - 1)

x + 2

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