What is the result when 2x^3-5x^2-x+6 is divided by x+1?

(

2

x

−

3

)

(

x

2

−

x

−

2

)

Factor

x

2

−

x

−

2

using the AC method.

Tap for fewer steps...

Factor

x

2

−

x

−

2

using the AC method.

Tap for more steps...

(

2

x

−

3

)

(

(

x

−

2

)

(

x

+

1

)

)

Remove unnecessary parentheses.

(

2

x

−

3

)

(

x

−

2

)

(

x

+

1

)

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3