Question

on dividing x^3-3x^2+5x-3 by a polynomial g(x), the quotient and remainder are x-3 and 7x-9 respectively. find g(x)

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Answer 1

Answer:

Step-by-step explanation:

Divisior = g(x)

Dividend = Divisior × Quotient + Remainder

x³-3x²+5x-3= Divisor ×(x-3)+7x-9

x³-3x²+5x-3-7x+9= Divisor×(x-3)

x³-3x²-2x+6= Divisor×(x-3)

(x³-3x²-2x+6)/(x-3)= Divisor

2nd part is long division