So remember that the <u>degree of the polynomial will indicate how many solutions there are, real or complex.</u> Since the degree of the polynomial is 2, this means that there is a maximum of 2 real solutions in this equation.
Next, we are going to apply the difference of squares rule to this polynomial, which is . In this case:
Now, we are going to apply the Zero Product Property, which states that if a × b = 0, this means that either a or b = 0 or a and b = 0. In this case, a = x + 3 and b = x - 3. Solve each as such:
<u>In short, there are 2 real solutions: x = 3 and x = -3.</u>
The value of x is 84°.
Solution:
Measure of intercepted arc = 168°
Measure of angle x = ?
<u>Tangent-chord relationship:</u>
<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>
The value of x is 84°.
Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.
Given expression is . the given expression is for the nth level.
To simplify the expression for the level, we plug in
in the place of 'n' in the given expression
(multiply the exponents)