Question

If 2 and 3 are zeroes of $a{x}^2+bx+c,$ then which of the following holds true?

• A. $a{x}^2+bx+c=(x-2)(x+3)$
• B. $a{x}^2+bx+c=k(x-2)(x-3)$
  where $k\ne 0$ and is any real number.
• C. $a{x}^2+bx+c=k(x+2)(x-3)$
  where $k\ne 0$ and is any real number.
• D. $a{x}^2+bx+c=k(x+2)(x+3)$
  where $k\ne 0$ and is any real number.

Answer 1

The correct option is B $a{x}^2+bx+c=k(x-2)(x-3)$

where $k\ne 0$ and is any real number.