Algebra Tutorials! Wednesday 14th of August

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# Multiplying Polynomials

## Examples

 What to Do How to Do It 1. Look again at the product of two binomials, and see how we use the method called the double distributive property. → (A + B)(C + D)   = A(C + D) + B(C + D)   = AC + AD + BC + BD 2. Generally, product of two linear binomials is multiplied by the method called F O Ι L. to obtain a quadratic (2nd degree) trinomial: F = the product of the first terms: O = the product of the outer terms: Ι = the product of the inner terms L = the product of the last terms Algebraically add the O + Ι = adx + bcx = Bx. (ax + b)(cx + d)   → Ax2 + Bx + C   Ax2 = axÂ·cx = acx2   C = bÂ·d = bd   acx2 + (ad +bc)x + bd .   = Ax2 + Bx + C 3. For general linear (first degree) binomials with common terms: The double distributive property is used vertically - the â€œouterâ€ and â€œinnerâ€ are placed directly below and then added algebraically along with the product of the â€œfirstsâ€ and â€œlastsâ€. The algebraic sum is the Product: → (ax + b)(cx + d)