Question

Explain it and answer it

Answer 1

p(x)= 2x
Q(x) =2x × 4x

Lcm = 2x × 4x = 8x²

Answer 2

Answer: 8$x^{2}$

Step-by-step explanation:

LCM means the lowest common factor i.e the smallest no. which is divisible by the given numbers.

So here the case is with polynomial.

LCM of polynomials means the same i.e the smallest possible expression divisible by both the given polynomials.

Therefore,$8x^{2}$ is the smallest of all as it has lowest power.

Verification :

$\frac{8x^{2}}{2x}=4x$

And,

$\frac{8x^{2} }{8x^{2}}=1$

Hence $8x^{2}$ is the LCM of the given polynomials.

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