Question

On dividing polynomial 10x⁴-6x³-40x²+41x-5 by polynomial g(x), the quotient is 5x-3 and remainder is 2x+4. Find polynomial g(x). PLEASE TELL FAST

Answer 1

we know ,

p(X) = g(X) × q(X) + r(X)

10x⁴-6x³-40x²+41x-5 = (g(x) × 5x-3) + 2x-4

10x⁴-6x³-40x²+41x-5-2x+4 = g(x)×5x-3

10x⁴-6x³-40x²+39x-1 = g(x)×5x-3

g(X) = 10x⁴-6x³-40x²+39x-1

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5x-3

g(X) = 2x³- 8x + 3

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