A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work?

Given 3x + 6, the factors of the first term are 3 and x, and the factors of the second term are 1, 2, 3, and 6. Thus, the greatest common factor is 3. Dividing through by the greatest common factor, I get x + 3. Thus, the factored polynomial is 3 (x + 3).

Question

Mathematics

Annie

10 April, 13:32

A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work?

Given 3x + 6, the factors of the first term are 3 and x, and the factors of the second term are 1, 2, 3, and 6. Thus, the greatest common factor is 3. Dividing through by the greatest common factor, I get x + 3. Thus, the factored polynomial is 3 (x + 3).

+1

Answers (1)

Know the Answer?

Andrade · Answer 1

The choices are:

A. The student identified the greatest common factor incorrectly.

B. The student incorrectly divided each term by the greatest common factor.

C. The student failed to simplify the expression.

D. The mathematical work shown is correct.

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.