The sum of the roots is \( 3 + (-5) = -2 \).
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- Therefore, the length is \( 3 \times 8 = 24 \).
- The area is \( 8 \times 24 = 192 \) square units.
- A quadratic equation is given by \( ax^2 + bx + c = 0 \). If the roots are 3 and -5, find the equation given that \( a = 2 \).
- The product of the roots is \( 3 \times (-5) = -15 \).
- The equation in terms of roots is \( x^2 - (\text{sum of roots})x + (\text{product of roots}) = 0 \).
- Substituting gives \( x^2 + 2x - 15 = 0 \).
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