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Find the common factor of all the terms of the polynomial 16x2 - 14x

2 Answers

5 votes
2x

16x^2 = 2 * 8 * x * x

14x = 2 * 7 * x

2 and x are the common factors in both terms, so 2x
User Adrien Matissart
by
5.8k points
6 votes

Answer:

The common factor of all the terms of the polynomial 16x² - 14x is:

2x

Explanation:

We are given a polynomial:

16x²-14x

We have to find the common factor of all terms.

First we factorize each term separately and then see the common factor.

16x²=2×2×2×2×x×x

14x=2×7×x

We observe that the common factor is:

2x

Hence, the common factor of all the terms of the polynomial 16x² - 14x is:

2x

User Jcwayne
by
5.4k points