# Factor form of polynomials Investigation

- Author:
- joelsperanza

**BEFORE MOVING ON READ BELOW.**In the worksheet below, you'll be investigating the factor form of polynomials.

**Step 1.**

**Tick Linear.**Move the

**a**slider back and forth. Notice how it changes the equation of the function. Notice how the function moves.

**QUESTION:**What do you observe about the x-intercept compared to the equation of the line? Write down your observations.

**Click RESET SLIDERS then move on.**

**Step 2. Untick Linear**and

**Tick Quadratic.**Move the

**a and b**slider back and forth. Notice how it changes the equation of the function. Notice how the function moves.

**QUESTION:**What do you observe about the x-intercepts compared to the equation of the function? Write down your observations.

**Click RESET SLIDERS then move on.**

**Step 3. Untick Quadratic**and

**Tick Cubic.**Move the

**a, b and c**sliders back and forth. Notice how it changes the equation of the function. Notice how the function moves.

**QUESTION:**What do you observe about the x-intercepts compared to the equation of the function? Write down your observations.

**Step 4. Before attempting the same process for the quartic function, predict what it will look like. Then follows the same procedure to see if you are correct.**