Question

The common factor of 24x3y4, 36x4z4 and 48x®y z is
(a) 12x
(b) 24x
(c) 36x
(d)48x

Answer 1

Answer:

a) 12x

Step-by-step explanation:

12 is the common factor of all the co efficient of x

Hence it is the correct answer

Answer 2

12x is common factor in all the terms.

Option (a) is correct.

Given:

• $24 {x}^{3} {y}^{4}, \: 36 {x}^{4} {z}^{4}, \: and \: 48xyz$

To find:

• The common factor of 24x³y⁴, 36x⁴z⁴ and 48xyz is
• (a) 12x
• (b) 24x
• (c) 36x
• (d)48x

Solution:

Step 1:

Find the common factor of coefficients.

As

$24 = 12 \times 2$

$36 = 12 \times 3$

and

$48 = 12 \times 4$

Common factor of 24, 36 and 48 is 12.

Step 2:

Find the common factors of polynomials.

$24 { \red x}^{3} {y}^{4}, \: 36 {\red x}^{4} {z}^{4}, \: and \: 48 \red xyz$

It is clear that x is common in all.

Thus,

12x is common in all the terms.

Option (a) is correct.

Learn more:

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