(c). With this polynomial we have four terms and the zeroes here are, Now, weâve got some terminology to get out of the way. If r is a zero of a polynomial and the exponent on the term that produced the root is k then we say that r has multiplicity k. Zeroes with a multiplicity of 1 are often called simple zeroes. For example, the polynomial will have one zero, , and its multiplicity is 2.
We'll start by looking at changes in matter, but as you'll see, it is not possible to talk about changes in matter without talking about adding or releasing energy. Matter can be changed two ways, physically and chemically. Let's discuss Physical changes first. Physical changes. Physical changes occur when matter changes from one state of matter to another state of matter by adding or losing thermal energy. In a physical change of state matter retains its original identity, it just changes the state of matter it is in. For example: Imagine a beaker of ice sitting on a warm hot plate. As you watch the ice, this solid water makes a physical change of state to liquid water.
If the motion of the atoms is altered by pressure or temperature, the state can change too. By lowering the temperature of water, it can freeze into a solid. By heating water, it can become steam which is a gas. Whether solid, liquid or gas â water is still water. Pressure can change matter from one state to another. Deep in the earth solids turn to liquids because the heavy weight of layers and layers of the earth push down on the solids causing them to turn to liquid magma.