Question

If the sum of zeroes of quadratic polynomial is 4 and product of zeroes if 3. What is the quadratic polynomial?

• A.
  $k(x^2+4x+3)$
• B.
  $k(x^2-4x+3)$
• C.
  $k(x^2-4x-3)$
• D.
  $k(x^2-4x+3)$

Answer 1

The correct option is B

$k(x^2-4x+3)$
If $a$ and $b$ are the zeroes of quadratic polynomial, we know that quadratic polynomial can be written as

$k\left(x^2\right)-k(a+b)x+k\left(ab\right)$

Hence, as per the question sum of zeroes is 4 and product of zeroes is 3.

Thus final equation will be $k(x^2-4x+3).$

Hence, the answer is option (b).