Question

Given that the x-intercepts of a quadratic are 3 and 4, what could be a possible quadratic equation of this quadratic?

Answer 1

Given:

x intercepts of a quadratic equation are 3 and 4.

The objective is to find the quadratic equation.

The x intercepts can be written as,

$\begin{gathered} x=3 \\ x-3=0 \end{gathered}$

Similarly,

$\begin{gathered} x=4 \\ x-4=0 \end{gathered}$

Now, multiply both the term to get the quadratic equation.

$\begin{gathered} (x-3)(x-4)=0 \\ x^2-3x-4x+12=0 \\ x^2-7x+12=0 \end{gathered}$

Hence, the required quadratic equation is obtained.