Long Division of x^3-3x^2-10x+24 ÷x-2

see explanation

Step-by-step explanation:

  x - 2 |    x² - x - 12

          x³ - 3x² - 10x + 24

          x³  - 2x²    ↓       ↓      ← subtract terms from terms above

               - x²    - 10x + 24

               - x²   + 2x       ↓          ← subtract terms from terms above

                       - 12x + 24

                       - 12x + 24           ← subtract terms from above terms

                                    0 ← remainder

Since remainder is zero then (x - 2) is a factor

and quotient = x² - x - 12 , thus

x³ - 3x² - 10x + 24 = (x - 2)(x² - x - 12) = (x - 2)(x - 4)(x + 3)

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.