1. Lesson 3

1.2. Are You Ready?

Mathematics 30-2 Module 4

Module 4: Polynomials

 

Are You Ready?

 

Complete the following questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

tip

Solving means “find the value(s) of x that makes an equation true.”

  1. Solve the following quadratic equations by graphing.
    1. 0 = 4x2 − 5x − 3 Answer
    2. 0 = −x2 + 2x − 1 Answer
  2. Solve by graphing.
    1. 4x2 + 6x = 2x + 3 Answer
    2. 2x2 − 10 = −x2 + 1 Answer
  3. Solve by using the quadratic formula.
    1. 4.2x2 − 3.3x − 5.1 = 0 Answer
    2. −1.5x2 − 3x + 2 = 3.4x2 − 2.2x Answer
  4. Given the following quadratic function, find the equation in vertex form y = a(x − p)2 + q.

     
    This is the graph of a parabola with vertex (2, 4), going through the point (6, 8).

    Answer

If you answered the Are You Ready? questions without difficulty, move to Discover.

 

If you found the Are You Ready? questions difficult, complete Refresher.

The quadratic formula is and it can be used to solve equations of the form ax2 + bx + c = 0.
Graph the left side, graph the right side, and then find the point(s) of intersection.