91Ó°ÊÓ

Use synthetic division to perform the indicated division. Write the polynomial in the form \(p(x)=d(x) q(x)+r(x)\). \(\left(3 x^{3}-x+4\right) \div\left(x-\frac{2}{3}\right)\)

Find the real zeros of the given polynomial and their corresponding multiplicities. Use this information along with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from a graphing utility. \(P(x)=(x-1)(x-2)(x-3)(x-4)\)

Find the real zeros of the given polynomial and their corresponding multiplicities. Use this information along with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from a graphing utility. \(Q(x)=(x+5)^{2}(x-3)^{4}\)

Find the real zeros of the polynomial using the techniques specified by your instructor. State the multiplicity of each real zero. \(f(x)=-17 x^{3}+5 x^{2}+34 x-10\)

Use synthetic division to perform the indicated division. Write the polynomial in the form \(p(x)=d(x) q(x)+r(x)\). \(\left(2 x^{3}-3 x+1\right) \div\left(x-\frac{1}{2}\right)\)

Use synthetic division to perform the indicated division. Write the polynomial in the form \(p(x)=d(x) q(x)+r(x)\). \(\left(4 x^{4}-12 x^{3}+13 x^{2}-12 x+9\right) \div\left(x-\frac{3}{2}\right)\)

Find the real zeros of the given polynomial and their corresponding multiplicities. Use this information along with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from a graphing utility. \(h(x)=x^{2}(x-2)^{2}(x+2)^{2}\)

Find the real zeros of the polynomial using the techniques specified by your instructor. State the multiplicity of each real zero. \(f(x)=36 x^{4}-12 x^{3}-11 x^{2}+2 x+1\)

Use synthetic division to perform the indicated division. Write the polynomial in the form \(p(x)=d(x) q(x)+r(x)\). \(\left(x^{4}-6 x^{2}+9\right) \div(x-\sqrt{3})\)

Find the real zeros of the given polynomial and their corresponding multiplicities. Use this information along with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from a graphing utility. \(H(t)=(3-t)\left(t^{2}+1\right)\)