x^2+x-30 your gonna make me fail so factor good

1 answer

To factor the quadratic expression \(x^2 + x - 30\), we need to find two numbers that multiply to \(-30\) (the constant term) and add to \(1\) (the coefficient of \(x\)).

The numbers that meet these criteria are \(6\) and \(-5\) because:

  • \(6 \times (-5) = -30\)
  • \(6 + (-5) = 1\)

Now we can write the expression in its factored form:

\[ x^2 + x - 30 = (x + 6)(x - 5) \]

So, \(x^2 + x - 30\) factors to \((x + 6)(x - 5)\).

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