A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 4) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -x + 2

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 4 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are 1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 5y + 4
y² + (1 + 4)y + (1 x 4)
(y + 1)(y + 4)

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 6)(y - 3)
(y x y) + (y x -3) + (6 x y) + (6 x -3)
y² - 3y + 6y - 18
y² + 3y - 18