Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x 2 – 3x + 1) ÷ (x – 4) determine whether each binomial is a factor of x 3 + 3x 2 – 10x – 24. 7. x + 4 9. x – 3 divide using synthetic division. 13. (–2x 3 + 15x 2 – 22x – 15) ÷ (x – 3)

1. We can conclude that the result of the division is  with a remainder of , or in other notation: . Check the steps in the first image.

3. We can conclude that the result of the division is  with a remainder of 2, or in other notation: . Check the steps in the firts image.

5. We can conclude that the result of the division is  with a remainder of 5, or in other notation: . Check the steps in the first image.

7. To check if  is a factor of , we are going to perform long division. If the result of the long division has no remainder,  is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the second image.

9. To check if  is a factor of , we are going to perform long division. If the result of the long division has no remainder,  is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is . Check the steps in the fourth image. 

A) for the n row: 22+(n-1)×6therefore,b) 100-22=78that means (n-1)×6=7878÷6=1313+1=1414th row has 100 seats