Question

The LCM of the polynomials 18(x4 - x3 + x2)
and 24(x6 + x3) is
(a) 72x2(x + 1)(x2 - x + 1)2
(b) 72x2(x2 - 1)(x3 - 1)
(c) 72x(x3 - 1)
(d) 72x2(x3 + 1)​

Answer 1

Answer:

Option a

Step-by-step explanation:

hope this answer helps you

Answer 2

Answer:

The LCM of the polynomials $18\left(x^4-x^3+x^2\right)$ and $24\left(x^6+x^3\right)$  is 72x³(x+1)(x²-x+1)

Step-by-step explanation:

Given:

The given polynomials are 18(x⁴ - x³ + x²) and 24(x⁶+x³) .

To Solve :

We get the LCM of these polynomials, we have to solve and find out the common terms from them.

To calculate the L.C.M., all you have to do is multiply the common and remaining terms by the factors of each polynomial.

The first polynominal is $18\left(x^4-x^3+x^2\right)$ .

By solving it, we will get $18\left(x^4-x^3+x^2\right) =18(x^2)(x^2-x+1\right))$

The second polynominal is $24\left(x^6+x^3\right)$

After further calculation it will be

$24x^{3} (x^{3}+1)\\ 24 x^3(x+1)\left(x^2-x+1\right)$

From the above calculation, the common term is $6 x^2\left(x^2-x+1\right)$

Therefore, the LCM of the given polynominals is $72 x^3(x+1)\left(x^2-x+1\right)$

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