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Svetradugi [14.3K]
3 years ago
12

Divide 3xsquared - 11x - 4 by x - 4a. x+1b. x-23c. 3x+1d. 3x-23​

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

c. 3x+1

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, <em>-c</em> gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 3 −11 −4

↓ 12 4

_______________

3 1 0 → 3x + 1

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [3x² - 11x - 4]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, and the 1 follows right behind it, giving you the quotient of 3x + 1.

I am joyous to assist you anytime.

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Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

−

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

image of graph

Step-by-step explanation:

7 0
3 years ago
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