Find the LCM of the given polynomial. 4x^{3}-4x^{2}+x, 2x^{3}-x^{2}, x^{3}

Lennie Davis

Lennie Davis

Answered question

2021-12-31

Find the LCM of the given polynomial.
4x34x2+x,2x3x2,x3

Answer & Explanation

twineg4

twineg4

Beginner2022-01-01Added 33 answers

Step 1: Given
4x34x2+x,2x3x2,x3
Step 2: Solution
Factoring them
4x34x2+x=x(2x1)22x3x2=x2(2x1)
x3
LCM is the product of all the factors which are common, and which are not common
So LCM is
x3(2x1)2
Answer:
x3(2x1)2
Mollie Nash

Mollie Nash

Beginner2022-01-02Added 33 answers

for the first one,
it's x(4x24x+1)x(2x1)(2x1)
for the second one,
x2(2x1)
for the third one,
x3
hence lcm for these three is just x
Vasquez

Vasquez

Expert2022-01-09Added 669 answers

You have to factor each polynomial first;
4x34x2+x=x(2x1)22x3x2=x2(2x1)x3=x3
Then we see we need to have a total of two (2x-1) factors, since the highest power is 2, and three x factors, since the highest power is 3. The Least Common Multiple is then x3(2x1)2=4x54x4+x3.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?