Find the product of the roots of the quadratic equation 2x^2 7x-4
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Given; 2x^2 -7x-4
To Find; the product of the roots of the quadratic equation 2x^2 7x-4
Solution; This question can be easily solved by factorizing the middle term as subtraction or addition of two numbers
2x^2-7x-4
2x^2-8x+x-4
2x(x-4)+1(x-4)
(2x+1)(x-4)
So the roots are 4 and -1/2
Hence the product of roots is -2
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