What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1? enter your answer in the box.

4

There are three different ways to find the remainder.  Since I don't know which lesson you are working on, I will show you all three methods.

Long Division:

           3x  +  7      

2x - 1 ) 6x² + 11x - 3

       -  (6x²  -  3x)   ↓

                    14x  - 3

                -   (14x  - 7)  

                              4    

Synthetic Division:

2x - 1 = 0   ⇒   x =

  | 6      11     -3

    | ↓       3     7

      6      14    4

Remainder Theorem:

2x - 1 = 0   ⇒   x =

f(x) = 6x² + 11x - 3

f() = 6()² + 11() - 3

      = 6() + - 3

      = + -

      =

      = 4

remainder = 4

using long division

6x² + 11x - 3 = (2x - 1 )(3x + 7 ) + , that is

the remainder is 4

$27.5

step-by-step explanation:

$110.00 divided by 4

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.