MULTIPLICATION OF MONOMIALS Activity 1: Space in the Place An engineer presented the floor plan of a building with the given dimensions as shown in the following figure. Find its floor area. 4x³ya Questions: 1. What kind of polynomial is 9x'y and 4x²y? 2. Is it possible for these polynomials to be multiplied? 3. How do you find its floor area? Vocabulary: ΜΟΝΟΜΙAL polynomial with one term NUMERICAL COEFFICIENT the number that is the multiplier of the variables. in an algebraic term LITERAL COEFFICIENT the variable or letter part in an algebraic term including its exponent BASE the number or variable that needs to be multiplied repeatedly ΕΧΡΟΝΕNT the number of times the base needs to be multiplied POWER expression representing the repeated multiplication of the same factor SIMILAR TERMS terms that have the same variable and raised to the same exponent. Use expanded form in multiplication of monomials to derive the laws of exponents. Example: (3x) 3x is the base, 2 is the exponent or the power. A. Expand the following monomials. a) x (x) (x) c) x(x) (x) (x) (x) b) y (y) (y) (y) (y) (y) (y) d) 4m³ (2) (2) (m) (m) (m) Question: 1. How did you expand the given monomiale?