Practice problem

Factoring Quadratic ax²+bx+c with ac>0

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Above is a graph of a quadratic polynomial $ax^2+bx+c$ whose roots are $x=\dfrac{1}{4}$ and $x=\dfrac{2}{3}$ .

Suppose the coefficients $a,b,c$ are integers with no common factor dividing all three coefficients. What is the value of $b$ ?