Chapter 6: Q. 6.2 (page 566)

Find the greatest common factors: $14 x^{3}, 70 x^{2}, 105 x$ .

Short Answer

Expert verified

The GCF of the given expressions is $7 x$ .

Step by step solution

Step 1. Given information

The given expressions are $14 x^{3}, 70 x^{2}, 105 x$ .

Step 2. Factoring

Factor each of the given expressions.

$14 x^{3} = 2 \cdot 7 \cdot x \cdot x \cdot x 70 x^{2} = 2 \cdot 5 \cdot 7 \cdot x \cdot x 105 x = 3 \cdot 5 \cdot 7 \cdot x$

From the factors of the given expression, it is observed that the common factors are $7, x$ .
Multiply the common factors to determine the GCF of the given expressions.

$7 \cdot x = 7 x$

So, the GCF of the given expressions is $7 x$ .

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Find the greatest common factors: $14 x^{3}, 70 x^{2}, 105 x$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Factoring

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Find the greatest common factors: 14x3,70x2,105x.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Factoring

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Calculus

Logic and Functions

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Find the greatest common factors: $14 x^{3}, 70 x^{2}, 105 x$ .