Page 82 - Math Course 2 (Book 1)
P. 82

Degree of a Polynomial




        Write a Polynomial
                                                                           2
                                                            State whether 4a  – b  is a polynomial. If it is a
                                                                               –2
                                                            polynomial, identify it as a monomial, binomial, or
         Example                                            trinomial.
                                                            A. yes, monomial
                                                            B. yes, binomial
         GEOMETRY                                           C. yes, trinomial
         Write a polynomial to represent the area of the    D. none of these
         shaded region.

                                                             Answer
                     h


                     h
                    b
                                                            State whether 8r – 5s is a polynomial. If it is a
                                                            polynomial, identify it as a monomial, binomial, or
                                                            trinomial.
            Words      The area of the shaded region is
                       the area of the rectangle minus      A. yes, monomial
                       the area of the triangle.            B. yes, binomial
                                                            C. yes, trinomial
          Variables    area of the shaded region = A        D. none of these
                       height of rectangle = 2h
                       area of rectangle = b(2h)
                                  1                          Answer
                        triangle =   bh
                                  2
          Equation     Area of shaded region = rectangle
                       area – triangle area.

                                  1
                       A = b(2h) –   bh
                                  2                         State whether 3y  is a polynomial. If it is a
                                                                           5
                                  1
                       A = 2bh –     bh                     polynomial, identify it as a monomial, binomial,
                                  2                         or trinomial.
                        The polynomial representing the
                          area of the shaded region is      A. yes, monomial
            Answer                       1                  B. yes, binomial
                               A = 2bh –      bh.           C. yes, trinomial
                                         2
                                                            D. none of these

         Your Turn!                                          Answer


        Identify Polynomials

         State whether 3x² + 2y + z is a polynomial. If it is a   Write a Polynomial
         polynomial, identify it as a monomial, binomial, or
         trinomial.                                         Write a polynomial to represent the area of the
                                                            shaded region.
         A. yes, monomial                                                                          r
                                                                2
         B. yes, binomial                                   A. 4r  – πr2
         C. yes, trinomial                                  B. πr 2
         D. none of these                                   C. 4r 2
                                                            D. 4r – πr 2
          Answer
                                                             Answer



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