Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 7x+6 \\ Q(x) &= 8x-2 \\ \end{aligned} $$

In this example we are multiplying two binomials so FOIL method can be used.

$$ \begin{aligned} \left( \color{blue}{ 7x+6}\right) \cdot \left( \color{orangered}{ 8x-2}\right) &= \underbrace{ \color{blue}{7x} \cdot \color{orangered}{8x} }_{\text{FIRST}} + \underbrace{ \color{blue}{7x} \cdot \left( \color{orangered}{-2} \right) }_{\text{OUTER}} + \underbrace{ \color{blue}{6} \cdot \color{orangered}{8x} }_{\text{INNER}} + \underbrace{ \color{blue}{6} \cdot \left( \color{orangered}{-2} \right) }_{\text{LAST}} = \\ &= 56x^2 + \left( -14x\right) + 48x + \left( -12\right) = \\ &= 56x^2 + \left( -14x\right) + 48x + \left( -12\right) = \\ &= 56x^2+34x-12; \end{aligned} $$

Polynomial Operations Calculator