Finding the Divisor, Dividend, and Quotient Using Synthetic
Division.
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Synthetic division is a divison method used to divide or mathematically operate on polynomials. It involves seperating the coefficients of the variables having different power and then dividing them using the given divisor. Below is the solution for the question asked.
1) Quotient = 5x²+5x+8;
Remainder = 0;
Divisor = x-1;
Dividend = 5x³+3x-8
2) Quotient = x³+3x²-4x+15;
Remainder = 0;
Divisor = x+2
Dividend = x^4+5x³+2x²+7x+30
3) Quotient = -3x²+13x+52
Remainder = 0
Divisor = x+4
Dividend = -3x³+x²-208
4) Quotient = 2x²+11X+48
Remainder = 0
Divisor = x-5
Dividend = 2x³+x²-7x-240
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