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  • Rational expressions
  • Operations with Rational Expressions
  • Dividing Rational Expressions

Dividing Rational Expressions

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  • Question 1:
    1 pts
    		Divide and simplify. $$\dfrac{3}{18x} \div \dfrac{5}{9x} $$
    $\dfrac{10}{7}$
    $\dfrac{3}{10}$
    $\dfrac{3}{7}$
    $\dfrac{3}{2}$
  • Question 2:
    1 pts
    		Divide and simplify. $$\dfrac{10n}{9} \div \dfrac{13n^{2}}{27} $$

    $\dfrac{13n}{3}$

    $\dfrac{3}{13n}$

    $\dfrac{30}{13n}$

    $\dfrac{13n}{30}$

  • Question 3:
    1 pts
    		$$\dfrac{7z^{3}}{3} \div \dfrac{5z^{3}}{3}= \dfrac{3}{7z^{3}} \cdot \dfrac{5z^{3}}{3}$$
  • Question 4:
    1 pts
    		Divide and simplify. $$\dfrac{12}{7}\div \dfrac{4}{11r}$$
  • Question 5:
    2 pts
    		Divide and simplify. $$\dfrac{4n}{n-6}\div \dfrac{4n}{8n-48}$$

    $\dfrac{1}{8}$

    $8$

    $-8$

    $-\dfrac{1}{8}$

  • Question 6:
    2 pts
    		Divide and simplify. $$\dfrac{6}{28w+4} \div \dfrac{6}{35w+5}$$
  • Question 7:
    2 pts
    		Divide and simplify. $$\dfrac{49x+21}{6x} \div \dfrac{42x+18}{6}$$

    $\dfrac{6x}{7}$

    $\dfrac{7}{6x}$

    $\dfrac{6}{7x}$

    $\dfrac{7x}{6}$

  • Question 8:
    2 pts
    		Divide and simplify. $$\dfrac{1}{2s} \div \dfrac{8s}{2s^{2}+16s}$$
    $\dfrac{s+8}{8s}$
    $\dfrac{s-8}{8s}$
    $\dfrac{8s}{8+s}$
    $\dfrac{8s}{8-s}$
  • Question 9:
    3 pts
    		Divide and simplify. $$\dfrac{5xy}{7x^{3}} \div \dfrac{10y^{3}}{14x^{2}}$$
    $\dfrac{1}{y}$
    $\dfrac{x}{y}$
    $\dfrac{1}{y^{2}}$
    $\dfrac{1}{y}$
  • Question 10:
    3 pts
    		Divide and simplify. $$\dfrac{8(10-x)}{(x+1)(x-10)} \div \dfrac{x-8}{(x-8)(x+1)}$$

    $8$

    $-8$

    $\dfrac{1}{8}$

    $-\dfrac{1}{8}$

  • Question 11:
    3 pts
    		Divide and simplify. $$ \dfrac{2x^{2}+4xy}{9x-18y} \div \dfrac{4x+8y}{3x-6y}$$
  • Question 12:
    3 pts
    		Divide and simplify. $$\dfrac{10x^{2}-28x+16}{2x-4} \div \dfrac{25x^{2}-25x+4}{5x^{2}-41x+8}$$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations