Explain the steps involved in factoring a complex trinomial. Provide examples.

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A complex trinomial is of the form ax^2 + bx +c. To factorize the complex trinomial the steps are

Step1) multiply a (coefficient of leading term) and c (constant term)

Step2) List all factors of a*c

Step3) Find combinations of factors of a*c such that adding or subtrating these combinations would produce b.

Step 4) Write all four terms

Step5) Group and factor the binomials

Step6) Combine like terms

Example:

x^2 + 7x +10

Step1) 1 * 10 = 10

Step2) factors of 10 are 1,2,5,10

Step3) We get 2+5 =7

Step4) x^2 + 2x + 5x + 10

Step5) x(x+2) + 5(x+2)

Step6) (x+2)(x+5)
by Level 6 User (19.5k points)

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