Gabriel used synthetic division to find the quotient if 5x²-16x+4x³-3 is divided by x-2. He obtained -19 as remainder. His solution is shown above. Is he correct? Why or why not? Prove your answer.
Gabriel is correct on solving the synthetic division, because he solve it by making the x-2 positive which will be 2, then writing down the coefficients 5,-16,4,-3...When he was done he put down the 5 to multiply 2 equals to 10, 10 add to -16 equals to -6,-6 multiply to 2 equals to -12,-12 add to 4 equals to -8,-8 multiply to 2 equals to -16, and last -3 add to -16 equals to -19which is the remainder...
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Answer:
Gabriel is correct on solving the synthetic division, because he solve it by making the x-2 positive which will be 2, then writing down the coefficients 5,-16,4,-3...When he was done he put down the 5 to multiply 2 equals to 10, 10 add to -16 equals to -6,-6 multiply to 2 equals to -12,-12 add to 4 equals to -8,-8 multiply to 2 equals to -16, and last -3 add to -16 equals to -19 which is the remainder...