![]() For example, -13x 2 can have -1x as factors and 13x or 1x and -13x as factors. ![]() STEP 2 List factors When the product of the first and last terms is negative, one of the factors is and one of the factors is positive. Find the product of the terms in the box and write it on your worksheet. Place the constant term in the lower right square of the box. Place the x 2 term in the upper left square of the box. 3x x x x x x + 14 EXPLORE 2 Factor 4x 2 + 5x - 6 using the box method STEP 1 Place the first and last terms in the box Use the box model shown at the bottom of your activity worksheet to factor 4x 2 + 5x - 6. ![]() In Exercises 2-4, use the box method to find the factors of the quadratic. Use the box model to factor 3x x You may want to refer to the steps in Explore 1. 1 of 13ΔΆ DRAW CONCLUSIONS Use your observations to complete these exercises 1. Write the factors of the quadratic on your worksheet. The sum of boxes (c) and (d) form the other. STEP 8 Write the factors The sum of boxes (a) and (b) form one of the factors. STEP 7 Fill in remaining boxes Repeat the procedure in Step 6 to find the values for boxes (b) and (d). To find the value of (c) ask, what do you multiply the value in box (a) by to get 3x 2? Put your answer in box (c). STEP 6 Use multiplication The product of boxes (a) and (c) must equal the value in the upper left-hand square. STEP 5 Find the greatest common factor Find the GCF of the 1st column. Place the other factor in the remaining empty square. STEP 4 Place the factors in the box Place one of the factors you circled in Step 3 in one of the empty squares. Circle the factors that add up to the middle term of 3x x + 5. STEP 3 Choose factors Find the sum of the factors you found in Step 2. Be sure to list the factors as the product of a number and x. Write it in the space provided on your worksheet. STEP 2 List factors Find the product of the terms in the box. ![]() 1 Name Date Class Period Activity 9.6 Factoring Using the Box Method MATERIALS QUESTION EXPLORE 1 activity worksheet How can you use the box method to factor a quadratic trinomial? Factor 3x x + 5 using the box method STEP 1 Place the first and last terms in the box Use the box model shown at the top of your activity worksheet to factor 3x x + 5. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |