Part 3: Find all the zeros and write the following function as a product of linear factors: y=2x6+31x5281x42517x328467x2+49 140x For your group assignment submission for part 3: - State all the zeros of the function above. - State the function above in factored form. - Justify how you came up with the zeros and factored form by showing work and explaining how you used each of the 7 strategies listed below. Strategies for factoring polynomials when basic algebra techniques do not work: 1. Use the Fundamental Theorem of Algebra to nd how many roots (zeros) the function has. (remember that some of the roots may be complex) 2. Use Descartes Rule of Sign to determine the types of roots this function might have. 3. Use the Upper and Lower Bounds Theorem to help you identify what interval all the real roots are in. 4. Use the Rational Roots Theorem to make a list of all possible rational roots within this interval. 5. Use the Polynomial Remainder Theorem and your calculator to help you nd any rational roots. 6. Use synthetic division to divide out the factors of the rational roots you found . 7. Solve the remaining quadratic function by any means you can: factoring, taking square roots, complete the square, or quadratic formula