In this section we solved nonhomogeneous systems of equations, arriving at an arbitrary solution. The solution was decomposed into the kernel of the transformation defined by the matrix of coefficients and a particular solution to the system. Is the particular solution x 1 unique? Ifx 1 is not unique, determine a vector other than (7, 2, 0) that can be used in Example 2 of this section.

MATH 105 Funtulis Multiplying Binomials and Trinomials 2/1/16 Like Terms terms with the same variable combination and the same exponents on variables. Ex. 3xyz and 1xyz are like terms. Factor an individual part of a product; factoring is the reverse of multiplying, meaning the final product is factored to arrive at the factors we started with. The FOIL Method: example (x + 2) (x + 1) First = x times x = x^2 Outer = x times 1 = x Inner = 2 times x = 2x Last = 2 times 1 = 2 Then combine like terms. Result: x^2 + 3x + 2. The Distributive Rule: A term on the outside of the parentheses (or other grouping symbol) that is not separated from the parentheses by addition or subtraction is distributed into the parentheses. Example: (x +