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Find greatest common divisors, roots, partial fraction decompositions.	Now, find two numbers that multiplied give.	Ideas for solving the problem 1.	Check for common factors if needed.

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Finding the roots of a quadratic equation by breaking it down into simpler expressions. To factor 2x2 −5x −3, we first identify the coefficients and find two numbers that multiply to −6 and add to −5. Factor the trinomial 2x25x+2 of the form ax2+bx+c, first, make the product of 2 and 2, Example 1 the roots of a polynomial equation in factored form can be easily determined by inspection andor applying the zeroproduct property, Factoring quadratic equations can be timeconsuming, especially if you’re unsure how to deal with complex numbers or repeated roots.

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