Subtract: 14 + 2x + 4x ^ 2 - 6x ^ 3 from 35x ^ 2 + 13x ^ 3 - 7x - 11
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Answer: Given: f(x)=x
4
+2x
3
−13x
2
−12x+21
g(x)=x
2
−4x+3
By division algorithm
f(x)=q(x)×g(x)+r(x)
g(x)=
q(x)
f(x)−r(x)
So. r(x) must be subtracted so, that result is exactly divisible by x
2
−4x+3.
2x−3 must be subtracted from f (x), so that result is exactly divisible by x
2
−4x+3.
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