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

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

x² - 2x - 15 = 0
(x + 3)(x - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x - 5) must equal zero:

If (x + 3) = 0, x must equal -3
If (x - 5) = 0, x must equal 5

So the solution is that x = -3 or 5

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, -6) and (2, 2) so the slope becomes:

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s²

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{49} \) = 7

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c² = a² + b²
c² = 7² + 7²
c² = 98
c = \( \sqrt{98} \) = \( \sqrt{49 x 2} \) = \( \sqrt{49} \) \( \sqrt{2} \)
c = 7\( \sqrt{2} \)

The volume of a cube is height x length x width:

v = h x l x w
v = 6 x 8 x 1
v = 48