THIS IS 50 POINTS. This is your opportunity to show a higher level of thinking skills. The challenge is for you to create your own polynomials following the required conditions. Each of your polynomials must include all work showing how you created your final solution. Write each polynomial in two equivalent forms: standard form (ax2 + bx + c) and factored form. 1. Create a polynomial whose GCF is 2x.

2. Create a polynomial with a factor of (x + 1).

3. Create a polynomial with a factor of (2y - 3x).

4. Create a polynomial that is a difference of perfect squares.

5. Create a trinomial with a factor of (y + 4) and a GCF of 3y.