Use synthetic division to solve (x^4 – 1) ÷ (x – 1). what is the quotient?

 

Step-by-step explanation:

Here, the dividend is

While divisor is  x - 1

In the synthetic division,

We will follow the following steps,

Step 1) Write the coefficient of the dividend in the decreasing order of degree,

Hence, the element in the first row under the division sign are 1, 0, 0, 0, - 1

Step 2) By putting x - 1= 0, we get x = 1

Hence, write down 1 outside the sign,

Here the problem is set up correctly, So, bring the leading coefficient (first number) straight down.

Step 3)  Multiply the number in the division box with the number that we brought down and put the result in the next column. Then, Add the two numbers together and write the result in the bottom of the row.

Step 4) Repeat the third step until you get the last element ( here the last element is 0,

Thus, We get numbers in the third row, 1, 1, 1, 1 ( Except 0 )

⇒ Quotient is  

(-8,5) bu tun not sure ok

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )