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Problem
Worksheet No. $6A$ A. Use the Remainder theorem to find the remainder R of each of the following. Verify your answer using synthetic division. 1. $\left(x^{2}+4x-5\right)+\left(x-3\right)$ $+\left(x-2\right)$ $2.$ $\left(x^{3}+4x^{2}+3x-10\right)$ $\left(x^{4}+x^{2}-4x-4\right)$ $\div \left(x-1\right)$ 3. $+\left(x+1\right)$ 4. $\left(4x^{3}+15x^{2}+2x-11\right)$ $\left(x^{3}-5x^{2}+10x-8\right)\div$ $\div \left(x-4\right)$ $5.$ 6. $2x^{3}-$ $-5x^{2}+8x+20$ $\div \left(x-2\right)$ $7.$ $P\left(x\right)=2x^{4}-3x^{3}+4x^{2}+17x+7$ divided by the following a $2x-3$ b. $2x+3$ c. $3x-2$