Question

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

Answer 1

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

Answer 2

2x

Explanation:

16 = 2^4

14 = 2 × 7

Common factor of 16 and 14 is 2.

x² = x × x

x = x

Common factor of x² and x is x

The common factor of the two terms is 2x.