I'm here to help you with your questions. Let's break it down step by step:
1. Rationalize the denominator and simplify:
To rationalize the denominator means to eliminate any square roots from the denominator. For example, if you have 1/√2, to rationalize it, you would multiply the numerator and denominator by √2 to get √2/2. This simplifies the fraction by getting rid of the square root in the denominator.
2. Find the zero of the polynomial p(x) = x - 5:
To find the zero of a polynomial, you set p(x) equal to 0 and solve for x. In this case, you have p(x) = x - 5. Setting x - 5 = 0, you get x = 5. So, the zero of the polynomial p(x) = x - 5 is x = 5.
3. How many common points do two intersecting lines have:
Two intersecting lines have exactly one common point. When two lines intersect, they meet at one and only one point. This point is known as the point of intersection. It is the solution to the system of equations formed by the two lines.
I hope this helps clarify the concepts for you. Let me know if you need further explanation on any of the points.
