Question

Which statement regarding the coefficients in standard form is correct?

a) Coefficients can share common factors.
b) Coefficients cannot share common factors.
c) Coefficients sometimes share common factors.
d) Coefficients share common factors only in specific cases.

Answer 1

Coefficients in standard form sometimes share common factors.

Step-by-step explanation:

The correct statement regarding the coefficients in standard form is option c) Coefficients sometimes share common factors.

Coefficients are the numbers that appear in front of variables in standard form equations. While coefficients can share common factors in some cases, they do not necessarily always share common factors. Whether or not coefficients share common factors depends on the specific equation or problem being considered.

For example, in the equation 2x + 4y = 8, the coefficients 2 and 4 share a common factor of 2. However, in the equation 3x + 5y = 7, the coefficients 3 and 5 do not share any common factors.