Algebra: Chapter 5, Lesson 7, page 231.
Addition of Polynomials
When we add polynomials, it can be easier if we order them in descending order for one of the variables. We can add polynomials in 2 ways:
- Horizontally – scan across the polynomials and see what terms can be combined. REMEMBER, we can add terms ONLY IF they have the SAME VARIABLES and the SAME EXPONENTS.
- Vertically – leave space for terms that are missing when making the columns, see the examples in the textbook on pagee 232.
Here is a link with more examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!
¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦
Algebra 1a: Chapter 7, Lesson 8, page 338
Parallel and Perpendicular Lines
Parallel lines by definition have the same slope. So, for the equation of 2 lines, all we have to do is figure out what the slope is of them both. If they have the same slope, then they are parallel. Check too, however, to make sure that both lines have DIFFERENT y-intercepts. If they have the same slope and y-intercept, then they are the same line, one on top of the other.
Perpendicular lines are lines that intersect at 90° or are at right angles to each other. By definition, the slopes of 2 lines that are perpendicular, when multiplied together, have a resultant product of −1.
Remember, the slope-intercept formula to find the slope, `m`: `y = mx + b`
You MAY have to solve the equation lines for `y`, isolating it to see what the slope, `m`, is as well as the y-intercept, `b`.
Here is a link from purplemath too with more explanation and examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!