"5.4 Synthetic Division
 Only the numbers are used, no variables           Synthetic Division isdividing a polynomial by a binomial(2x2 -1x-3) ÷ (x+1) (2x2-1x-3) ÷ (x+1)The x valuethat cancelsthe divisor (-1)is the multiplier The answer(quotient):   2x - 3(2x2-1x-3) ÷ (x+1)x#remainder Thequotientis:(3x3+5x2-2x-120) ÷ (x-3) 3x3+14x2+40x 3x2+14x+40 Thequotient(3x3+5x2-2x-120) ÷ (x-3)x2x 3x2+14x+40#remainder Quotient:(5x3-6x2+3x+14) ÷(x+1) 5x2-11x+14 5x3-11x2+14x The degree (highest power) of the quotientis ALWAYS one lower than the degree of the dividendQuotient : 5x2-11x+14(5x3-6x2+3x+14) ÷(x+1) (x2 -3x -10)÷(x-5)Fill in theblanks 5(x2 -3x -10)÷(x-5)1-3-10 5(x2 -3x -10)÷(x-5)11-3-10 5(x2 -3x -10)÷(x-5)11-35-10 5(x2 -3x -10)÷(x-5)11-352-10 5(x2 -3x -10)÷(x-5)11-352-1010 5(x2 -3x -10)÷(x-5)11-352-10100The quotient:x2+2x2+2xx+2 (x3 -4x2 -17x  +60)÷(x+4)Fill in the  blanks -4(x3 -4x2 -17x  +60)÷(x+4)1-4-1760 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-1760 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-4-1760 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-4-8-1760 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-4-8-173260 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-4-8-17153260 -4(x3 -4x2 -17x  +60)÷(x+4)11-4-4-8-171532-6060 -4Quotient:11x3-8x2+15xx2-8x+15-4-4-8-171532x2-8xx2-8-60600 The EndThe End
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