The long division shown below:
what is Long division method?
In order to perform division, we need to understand a few steps. The divisor is separated from the dividend by a right parenthesis 〈)〉 or vertical bar 〈|〉 and the dividend is separated from the quotient by a vinculum (an overbar). Now, let us follow the steps of the long division given below to understand the process.
- Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
- Step 2: Then divide it by the divisor and write the answer on top as the quotient.
- Step 3: Subtract the result from the digit and write the difference below.
- Step 4: Bring down the next digit of the dividend (if present).
- Step 5: Repeat the same process.
Given:
(3x^2+11x-4) / (x+4)
Step 1:
Divide the leading term of the dividend by the leading term of the divisor: 3x^2/x=3x.
Multiply it by the divisor: 3x(x+4)=3x^2+12x.
Subtract the dividend from the obtained result: (3x^2+11x−4)−(3x2+12x)=−x−4
Step 2:
Divide the leading term of the obtained remainder by the leading term of the divisor: −x/x=−1.
Multiply it by the divisor: −1(x+4)=−x−4.
Subtract the remainder from the obtained result: (−x−4)−(−x−4)=0
Learn more about Long division method here:
https://brainly.com/question/3935316
#SPJ2
