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# Construct a quadratic equation whose roots are -$$\frac{3}{2}$$ and 7

### Question

Construct a quadratic equation whose roots are -$$\frac{3}{2}$$ and 7

### Options

A) 3x2 + 11x + 21 = 0

B) 2x2 + 11x + 21 = 0

C) 2x2 - 11x – 21 = 0

D) 3x2 - 11x - 21 = 0

E) x2 - 11x – 21 = 0

## Discussion (2)

• Donjudex Ekuma

Obtain the sum and product of the given first,
Subtract x^2 from the sum and add X to the product.
X^2-(11/2)X-2(21/2)=0
2(X^2)-2(11/2)X-2(21/2)=0
2X^2-11X-21=0