Please help with this!! Urgent

9514 1404 393

  see attached

Step-by-step explanation:

When p and q are roots, (x -p) and (x -q) are factors. The quadratic equation is then ...

  0 = (x -p)(x -q) = x^2 -(p+q)x +pq

That is, the constant term is the product of the roots and the linear term coefficient is the opposite of the sum of the roots.

Using the given sum and product, the equation can be written ...

  0 = x^2 -(-5/4)x +3/4

Multiplying by -8 gives ...

  0 = -8x^2 -10x -6 . . . . . matches lower right choice

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Check

The product of roots is positive, so both roots have the same sign. The sum of roots is negative, so both roots are negative. That means there are no positive real roots to the equation. Descartes' Rule of Signs tells you this means the sequence of coefficients has no sign changes. Only the choice shown below has no sign changes. All of the others have at least 1 sign change.