MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
The quadratic equation 2x2+12x+18=0 is to be solved.
(i) Divide the equation by the highest common factor of its coefficients and write the simplified form.
(ii) Factorise the simplified quadratic expression.
(iii) List the root(s) obtained and state whether they are distinct or repeated.
(iv) Calculate the discriminant of the original equation and comment on how it supports your result in part (iii).