Easy Algebra Step-by-Step

116 Easy Algebra Step-by-Step

Step 4. Subtract xx^322 from the dividend, being sure to mentally change

the signs of bothx^3 and − 2 x^2.

xx))

xx

−+ (^2) ))x^3008 +−
32
x^2

2

2 x^2

Step 5. Bring down 0, the next term of the dividend, and repeat steps 2–4.

xx))

x

xx

x

))x +

+

2 3 008 +−

2

32

2

2 x

2

2 ++ 0

24

4

xx^2 − 4

x

Step 6. Bring down –8, the last term of the dividend, and repeat steps 2–4.

xx))

xx

xx

x

))x +

+ x+

+

2 008 + −

2

0

3

2

32

2

4

2

2

24

4

xx^24

x− 8

48 x

0

Step 7. State the quotient and remainder.

The quotient is xx^2 + 242 xx and the remainder is 0.

c. xx

x

(^24)
3
+−x

• Step 1. Using the long division symbol ()) , arrange the terms of both the
  dividend and the divisor in descending powers of the variable x.