Factor: d^2+6d-16

1 answer

To factor the quadratic expression \( d^2 + 6d - 16 \), we need to find two numbers that multiply to \(-16\) (the constant term) and add up to \(6\) (the coefficient of the \(d\) term).

The numbers that satisfy these conditions are \(8\) and \(-2\) because:

  • \(8 \times (-2) = -16\)
  • \(8 + (-2) = 6\)

Using these numbers, we can write the expression in factored form:

\[ d^2 + 6d - 16 = (d + 8)(d - 2) \]

Thus, the factored form of \(d^2 + 6d - 16\) is \((d + 8)(d - 2)\).