TEKS: Chapter 111. Mathematics See All Teacher Resources

111.40.c.7

(7) Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations. The student is expected to:

  • (A) add, subtract, and multiply complex numbers;
  • (B) add, subtract, and multiply polynomials;
  • (C) determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two;
  • (D) determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods;
  • (E) determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping;
  • (F) determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two;
  • (G) rewrite radical expressions that contain variables to equivalent forms;
  • (H) solve equations involving rational exponents; and
  • (I) write the domain and range of a function in interval notation, inequalities, and set notation.