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Given Equation is f(x) = 8x^4 - 8x^3 - 18x^2 - px - q.
Given g(x) = 4x^2 - 4x + 1
2x^2 - 5
---------------------------------------
4x^2 - 4x + 1) 8x^4 - 8x^3 - 18x^2 - px - q
8x^4 - 8x^3 + 2x^2
----------------------------------------
-20x^2 - px - q
-20x^2 - 20x - 5
--------------------------------------------
(-p - 20)x + (5 - q)
Remainder = (- p - 20)x + (5 - q)
= > (-p - 20) = 0
= > -p = 20
= > p = -20.
= > 5 - q = 0
= > q = 5
Therefore, the values of p = -20 and q = 5.
Hope this helps!
Given g(x) = 4x^2 - 4x + 1
2x^2 - 5
---------------------------------------
4x^2 - 4x + 1) 8x^4 - 8x^3 - 18x^2 - px - q
8x^4 - 8x^3 + 2x^2
----------------------------------------
-20x^2 - px - q
-20x^2 - 20x - 5
--------------------------------------------
(-p - 20)x + (5 - q)
Remainder = (- p - 20)x + (5 - q)
= > (-p - 20) = 0
= > -p = 20
= > p = -20.
= > 5 - q = 0
= > q = 5
Therefore, the values of p = -20 and q = 5.
Hope this helps!
anjali39945:
I have one doubt
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