91Ó°ÊÓ

Divide the polynomials using long division. Use exact values and express the answer in the form \(Q(x)=?, r(x)=?\). $$\left(9 x^{2}-25\right) \div(3 x-5)$$

Given a real zero of the polynomial, determine all other real zeros, and write the polynomial in terms of a product of linear and/or irreducible quadratic factors. Polynomial $$P(x)=x^{4}-5 x^{2}+10 x-6$$ Zero $$1,-3$$

Find all zeros (real and complex). Factor the polynomial as a product of linear factors. $$P(x)=x^{4}-25$$

Determine which functions are polynomials, and for those that are, state their degree. $$F(x)=x^{1 / 3}+7 x^{2}-2$$

Find the domain of each rational function. $$f(x)=-\frac{3\left(x^{2}+x-2\right)}{2\left(x^{2}-x-6\right)}$$

Determine which functions are polynomials, and for those that are, state their degree. $$F(x)=3 x^{2}+7 x-\frac{2}{3 x}$$

Find all zeros (real and complex). Factor the polynomial as a product of linear factors. $$P(x)=x^{4}-9$$

Given a real zero of the polynomial, determine all other real zeros, and write the polynomial in terms of a product of linear and/or irreducible quadratic factors. Polynomial $$P(x)=x^{4}-4 x^{3}+x^{2}+6 x-40$$ Zero $$4,-2$$

Divide the polynomials using long division. Use exact values and express the answer in the form \(Q(x)=?, r(x)=?\). $$\left(5 x^{2}-3\right) \div(x+1)$$

Find the domain of each rational function. $$f(x)=\frac{5\left(x^{2}-2 x-3\right)}{\left(x^{2}-x-6\right)}$$