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$→1$ Now, your turn! Activity $1:$ Divide the following polynomials using long division. a) $\left(2x^{3}+9x^{2}+3x-4\right)\div \left(x+4\right)$ b) $\left(8x^{3}+27\right)\div \left(2x+3\right)$ c) $\dfrac {11x-20x^{2}+12x^{3}-14} {x-2}$ Activity $2:$ Divide the following polynomials using synthetic division a) $\left(4x^{2}+x-3\right)\div \left(x-3\right)$ b) $\left(3x^{2}+4x-x^{4}-2x^{3}-4\right)\div \left(x+2\right)$ c) $\left(2x^{5}-2x^{3}+4x^{2}-3\right)\div \left(x+1\right)$ d) $\left(-x^{4}+2x^{5}-2x-3x^{2}+1\right)\div \left(x-2\right)$ $e\right)$ $\left(2x^{3}+5x^{2}-4x-5\right)\div \left(2x+1\right)$