If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

$\dfrac{6x^3+x^2-3}{x-7}$

Here,

$x-c=x-7\Rightarrow c=7$

The numerator polynomial can be written as

$P(x)=6x^3+x^2+0x-3$

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7 | 6 1 0 -3

Therefore, the correct option is C.

5 0

2 years ago

What is the image of the point

algol [13]

By estimation, 3.9 turns into 4 and 5.3 turns into 5. The answer after estimation is 20 while the real answer is 20.67. Well u see by estimation we get an answer of two places right. So, real answer should also have two places.Place the decimal point after it.y43

Step-by-step explanation: i dont know if I'm right or not

3 0

2 years ago

5x-11=3x+5 solve for ”x”

I am Lyosha [343]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for x

Subtract 3x on both sides: 2x - 11 = 5

Add 11 to both sides: 2x = 16

Divide both sides by 2: x = 8

Step 3: Check

Plug in x to verify it is a solution.

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

4 0

2 years ago