Plss tell answer of Q5..
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Given g(x) = x^2 - 2x + k.
x^2 - 4x + 8 - k
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x^2 - 2x + k) x^4 - 6x^3 + 16x^2 - 25x + 10
x^4 - 2x^3 + kx^2
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-4x^3 + 16x^2 - kx^2 - 25x + 10
-4x^3 + 8x^2 - 4kx
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8x^2 - kx^2 - 25x + 4kx + 10
8x^2 - 16x + 8k
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-kx^2 - 9x + 4kx + 10 - 8k
-kx^2 + 2kx -k^2
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-9x + 2kx + 10 - 8k + k^2
Therefore, remainder = -9x + 2kx + 10 - 8k + k^2
= (2k - 9)x + k^2 - 8k + 10
Given remainder = x + a.
= > 2k - 9 = 1
= > 2k = 10
= > k = 5.
(ii) k^2 - 8k + 10 = a
= > (5)^2 - 8(5) + 10 = a
= > 25 - 40 + 10 = a
= > a = -5.
Then, k + a = 5 + -5
= 0.
Hope this helps!