Multiple choice

The factorisation method converts the quadratic equation a$x^2$+bx+c=0 into which of the following form?

  1. a$x^2$ + bx = 0
  2. $(px+q)(rx+s)=0$
  3. $(x+p)^2=q$

  4. All of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The factorization method involves finding two binomials (px+q) and (rx+s) such that their product equals the quadratic expression, allowing the equation to be solved by setting each factor to zero.

AI explanation

The factorisation method solves a quadratic equation by expressing the quadratic polynomial as the product of two linear factors. This transforms the standard equation ax^2 + bx + c = 0 into the form (px + q)(rx + s) = 0 so that the zero product property can be applied to find the roots.

Keep practicing — related questions