The integral zero theorem tells us to check the factors of the constant term to find a factor of a polynomial. First, determine the first factor, then use long or synthetic division to complete the question. Explain your work as you go. (10)Try it out with the following:a. Factor x^3 - 4x^2 + x + 6 completely:b. Factor x^3 - 6x^2 + 9x - 4 completely:c. Factor 2x^4 - 5x^3 - 11x^2 + 20x + 12 completely:d. Why is it useful to factor polynomials? What information do you get out of it? (1)

11. The integral zero theorem tells us to check the factors of the constant term to find a factor of a polynomial. First, determine the first factor, then use long or synthetic division to complete the question. Explain your work as you go. (10) Try it out with the following: a. Factor x3 4x2 + x + 6 completely: b. Factor x3 6x2 + 9x 4- completely: c. Factor 2x4 5x3 11362 + 20x + 12 completely: d. Why is it useful to factor polynomials? What information do you get out of it? (1)