p(x) = x4 -6x3 +16x2 -25x +10. g(x) = x2-2x+k. It is givenp(x) = g(x)q(x) + (x+a). Find the value of k and a
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I don't not that one so anybody know
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Answer:
k=5 a = - 5
Step-by-step explanation:
P(x) = x4 – 6x3 + 16x2 – 25x + 10
q(x) = x2 – 2x + k, r(x)= x + a,
To find: k and a
After dividing p(x) by g(x) (long division method)
we get r(x) = (2k-9)x-k(8-k)+10 but the remainder =x + a
on comparing and solving we get 2k-9=1 , k=5 and a= -k(8-k)+10= -5
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