In High School Algebra, one of the most important techniques learned there is th

Question

In High School Algebra, one of the most important techniques learned there is the factoring of polynomials with integer coefficients. The Trial-and-Error method of factoring a quadratic polynomial of the form ax^2 + bx + c involves finding all (possible) products of binomials that multiply to provide the lead (ax^2) and constant (c) terms. Then, the student uses FOIL to find which one of these, if any, gives the correct middle term (bx) as well. For the polynomial equation, 60x^2 + 25x - 72 = 0, this process would be arduous, for there are many possible binomial pairs (Ax + B)(Cx + D) whose "first" term in the FOIL process is equal to ax^2 and whose "last" term is equal to c. One such example is (60x - 1)(x + 72). Since c

Explanation / Answer

A)only one binomal pair is exist.

B) the number of possible binomal pairs are equal to the half of the divisors.

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