t2 sec 3 #17

To get this one, you need to remember that corresponding coefficients of equivalent polynomials are equal. In other words, if ax^2+bx+c is equivalent to mx^2+nx+p then you know that ambn, and cp.

To solve this question, then, all we need to do is simplify the left hand side.

    \begin{align*}2x(3x+5)+3(3x+5)&=ax^2+bx+c\\6x^2+10x+9x+15&=ax^2+bx+c\\6x^2+19x+15&=ax^2+bx+c\end{align*}

From that, we know that a = 6, b = 19, and c = 15. The question only asks us for b, so the answer is 19.

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