Through chapter 5 of the text we looked at using the exponent rules in multiplying polynomials. In chapter 6 we are factoring polynomials which is closely related to multiplying polynomials. We use the factors of a polynomial equation, along with the zero-product property, to find the solutions to the equation.
- Complete these sentences:
- A factor is ______________________________________.
- To factor a polynomial means to write the polynomial as __________________________.
- We can check that we have factored a polynomial correctly by _____________________.
- The degree of a quadratic polynomial in one variable is __________.
- From page 468-469 of the text, choose a quadratic (or higher degree) equation from numbers 43-72. (Be careful, not all equations on the pages are quadratics or higher!)
- Use the exercise number as the title of your post so that it can easily be seen which exercises have been used: failure to do so may result in non-acceptance of post
- Do not use an exercise that has already been used: repeating an already used exercise can result in non-acceptance of post
- State your exercise as written in the book.
- Write your equation in the appropriate form if applicable.
- Using the 7-step factoring strategy on page 461 of the text: Show and explain each step in the process of factoring your quadratic. List each step and explain how/why it does/does not apply to your exercise.
- Once factored, demonstrate/explain how to use the zero-product property on the factors to find each solution.
- Show/explain how to check each of your solutions in the original equation.
- State your solution as a solution set
69. (x âˆ’ 1)(x + 2) = 18