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quadratic equation by factoring

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1. Solve the following quadratic equation by factoring.

a) x^2 + 7x + 10 = 0
b) 2x^2 - 3x - 2 = 0

2. Compute the discriminant of the quadratic equation 3x^2+x+2=0. Briefly describe the number and type of solutions for this equation.

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This solution addresses quadratic equations by factoring.

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1a) x^2+7x+10 = 0

Rewriting the given equation, we have --
x^2 + 2x + 5x + 10 = 0
Or x(x + 2) + 5(x + 2) = 0

Grouping similar terms, we have --

(x ...

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