The GCD of the polynomial (3x – 5) (2x + 6) and (3x – 5) (x + 8) is (A) (2x + 6) (B) (3x – 5) (C) (x + 8) (D) (x – 8). Created by nagdevmahak762.

The GCD of the polynomial (3x – 5) (2x + 6) and (3x – 5) (x + 8) is (A) (2x + 6) (B) (3x

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The GCD of the polynomial (3x – 5) (2x + 6) and (3x – 5) (x + 8) is (A) (2x + 6) (B) (3x – 5) (C) (x + 8) (D) (x – 8)

Answer:

Explanation:

To find the greatest common divisor (GCD) of two polynomials, you can factor each polynomial and then determine the common factors.

Let's factor the given polynomials first:

Polynomial 1: (3x - 5)(2x + 6)

Polynomial 2: (3x - 5)(x + 8)

Now, let's identify the common factors between these two polynomials. The only common factor is (3x - 5).

So, the GCD of the polynomials (3x - 5)(2x + 6) and (3x - 5)(x + 8) is (3x - 5).

Therefore, the correct answer is (B) (3x - 5).