Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?
1 answer:
Answer: quotient is 2x^2 + 10x - 5 Solution: The first polynomial is miswritten. The right one is: 2x^3 + 4x^2 - 35x + 15. So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3) The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient. So, in this case it is: 3 | 2 4 -35 15 --------------------------------- 2 10 - 5 0 So, the quotient is 2x^2 + 10x - 5, and the remainder is 0. I like to show it in this other way: | 2 4 -35 15 | | 3 | +6 +30 -15 -------------------------------- 2 10 - 5 0 Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
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