The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x² + 6x - 27 = 0
(x - 3)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 9) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 9) = 0, x must equal -9

So the solution is that x = 3 or -9

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, 0) and (2, -4) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -x - 2

A trapezoid is a quadrilateral with one set of parallel sides.

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

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