Question

Form the quadratic equation whose roots are:

$-3$ and $\frac{5}{2}$

• A. $2x^2+x-15=0$
• B. $2x^2-x-15=0$
• C. $x^2+x-45=0$
• D. $x^2-x-45=0$

Answer 1

The correct option is A $2x^2+x-15=0$

The roots of the equation are $-3$ and $\frac{5}{2}$
Thus the quadratic equation is
$(x+3)(x-\frac{5}{2})=0$
$(x+3)(2x-5)=0$
$2x^2+6x-5x-15=0$
$\therefore 2x^2+x-15=0$